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Topic: Obtuse angle

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In the News (Wed 19 Jun 19)

  Angles and angle terms
An acute angle is an angle measuring between 0 and 90 degrees.
An obtuse angle is an angle measuring between 90 and 180 degrees.
Angle B and angle C are also alternate exterior angles.
www.mathleague.com /help/geometry/angles.htm   (526 words)

 PlanetMath: angle   (Site not responding. Last check: 2007-10-30)
The supplement of an obtuse angle is called an acute free angle, or an acute angle.
It is also possible to define the multiplication of a free angle by a positive integer, provided that the resulting angle is a well-defined free angle.
This is version 13 of angle, born on 2005-10-18, modified 2005-10-28.
planetmath.org /encyclopedia/Angle.html   (558 words)

 Measurement Session 4: Solutions
The vertical angles are congruent (the pairs of vertical angles are a and d, c and b, e and h, and f and g).
Angles on the same side of the transversal and in the same position relative to the parallel lines are called corresponding angles and are congruent.
Since the transversal cuts the parallel lines at the same angle, the angles formed by the parallel lines and the transversal are identical in measure (e.g., d and h, and c and g).
www.learner.org /channel/courses/learningmath/measurement/session4/solutions_b.html   (1145 words)

 Tim's Triangular Page
The sum of the angles of a triangle is 180 degrees, and thus, every angle in a triangle is less than 180 degrees, and the biggest angle is at least 60 degrees.
The sum of the angles adjacent to the hypotenuse is 90 degrees.
The angle between equal sides in a golden triangle is 36 degrees, which is 1/10 of the full angle or 1/5 of the straight angle.
sakharov.net /triangle.html   (3567 words)

 Obtuse - Wikipedia, the free encyclopedia
Obtuse angle, an angle of more than 90 degrees
Obtuse triangle, a triangle with an internal angle of more than 90 degrees
This is a disambiguation page: a list of articles associated with the same title.
en.wikipedia.org /wiki/Obtuse   (91 words)

 Trigonometric functions of any angle
The corresponding acute angle of 120° is 60°.
The corresponding acute angle of −45° (Fourth quadrant) is 45°.
The cosine of an obtuse angle is equal to the negative of the cosine
www.themathpage.com /aTrig/functions-angle.htm   (760 words)

 Oblique Triangles   (Site not responding. Last check: 2007-10-30)
It could be an acute triangle (all threee angles of the triangle are less than right angles) or it could be an obtuse triangle (one of the three angles is greater than a right angle).
There are two angles between 0 and 180° with a given sine; the second one is the supplement of the first.
The angles PAB = 98° 47', QAB = 41° 36', PBA = 37° 16', and QBA = 94° 12'.
aleph0.clarku.edu /~djoyce/java/trig/oblique.html   (1604 words)

 angle - Wiktionary
In the case of a plane angle, this is the ratio (or proportional to the ratio) of the arc length to the radius of a section of a circle cut by the two rays, centered at their common point.
In the case of a solid angle, this is the ratio of the surface area to the square of the radius of the section of a sphere.
The angle between lines A and B is π/4 radians, or 45 degrees.
en.wiktionary.org /wiki/angle   (271 words)

 Types Of Triangles
An acute triangle is a triangle whose angles are all acute (i.e.
The given 96º angle cannot be one of the equal pair because a triangle cannot have two obtuse angles.
We've looked at classifying types of triangles according to the size of its angles: right triangles, acute triangles and obtuse triangles; and also covered types of triangles according to the length of its sides: equilateral triangles, isosceles triangles and scalene triangles.
www.onlinemathlearning.com /types-of-triangles.html   (725 words)

 Cool math .com - Types of Triangles
In the equilateral triangle, all the sides are the same length (congruent) and all the angles are the same size (congruent).
Obtuse triangles have one angle that is greater than 90 degrees.
Acute triangles have NO angles greater than or equal to 90 degrees -- all their angles are less than 90 degrees.
www.coolmath.com /reference/triangles-types.html   (249 words)

 Math Forum - Ask Dr. Math
To measure an acute angle (less than 90 degrees), put the vertex at the center of the straight side of the protractor, lining up one half of that side with one side of the angle, so that the other side is under the protractor.
For instance, if you read 45, the angle is really 180 - 45 = 135 degrees A reflex angle is the "outside" of an acute or obtuse angle.
I think you mean that you are supposed to find the angle between the 80 and 150 marks on the protractor.
mathforum.org /library/drmath/view/54699.html   (590 words)

 PlanetMath: convex angle
A positive angle is convex if it is at most 180 degrees, i.e.
means the angle between the tangent lines of the curves in
This is version 13 of convex angle, born on 2004-11-08, modified 2006-08-16.
planetmath.org /encyclopedia/ObtuseAngle.html   (101 words)

 All about altitudes
Orthocenter as the Isogonal Conjugate of the Circumcenter
Thus, the fact that, in a triangle, angle bisectors are concurrent, implies the fact that altitudes in a triangle are also concurrent.
H is an angle bisector in the orthic triangle.
www.cut-the-knot.org /triangle/altitudes.shtml   (1368 words)

 All Elementary Mathematics - Study Guide - Geometry - Angles...
Angle is a geometric figure  (Fig.1),  formed by two rays  OA  and  OB (sides of an angle), going out of the same point  O  (a vertex of an angle).
A measure of an angle is a value of a turn around a vertex O, that transfers a ray OA  to the position OB.
An angle of  90 deg  (Fig.2) is called a right or direct angle; an angle lesser than  90 deg  (Fig.3), is called an acute angle; an angle greater than  90 deg  (Fig.4), is called an obtuse angle.
www.bymath.com /studyguide/geo/sec/geo3.htm   (406 words)

 Question Corner -- Counting Obtuse Triangles in an Inscribed Polygon
Similarly, angle C is 10a degrees and angle A is 10b degrees.
Therefore, the number of obtuse triangles equals the number of "extra" triangles (which is the number of 2's among the three numbers), plus 1 if the "main" triangle ABC is obtuse (which happens if one of the three numbers is a 9).
Label the vertices of each obtuse triangle A, B, and C, in order clockwise, starting at the vertex before the obtuse angle (so that angle B is the one which is obtuse).
www.math.toronto.edu /mathnet/questionCorner/obtusetriangle.html   (1226 words)

 Angle Classification: Acute, Right, Obtuse   (Site not responding. Last check: 2007-10-30)
We assume the facts that the three angles in a triangle as well as any angles that form a straight line have a sum of 180º.
But clearly the measure is less than 90º since this is not as wide an angle as a right angle or square corner.
Describe and measure the third angle B? The third angle B is also acute and is found by subtracting from as follows:
www.algebralab.org /lessons/lesson.aspx?file=Geometry_AnglesAcuteRightObtuse.xml   (326 words)

 All Elementary Mathematics - Study Guide - Geometry - Triangle...
3) a hypotenuse and an acute angle of one of triangles are equal to a hypotenuse and
5) a leg and an opposite acute angle of one of triangles are equal to a leg and an opposite acute angle of another.
Bisector is a segment of the angle bisector, from a vertex to a point of intersection with an opposite side.
www.bymath.com /studyguide/geo/sec/geo7.htm   (901 words)

 Geometry Glossary
- an angle whose vertex is the center of the circle
- the angle of less than 360 degrees that corresponds to an angle of over 360 degrees; In order to get the reference angle, you must subtract 360 degrees from the given angle until there is less than 360 degrees left.
In a zero angle, both the initial and terminal sides are the same.
library.thinkquest.org /2647/geometry/glossary.htm?tqskip1=1#o   (3915 words)

 Angles Math Lesson Plan, Thematic Unit, Activity, Worksheet, or Mathematics Teaching Idea
Be sure to instruct them on what angles they are forming (right, obtuse or acute) and how to properly form the angles.
Stress that all of the square’s angles are right angles equal to 90oeach, and that some geometric shapes will have right angles, but that all of the angles may not be right angles.
Once the angles are properly formed, the students should glues the angles to the tag board, clearly label the angles, and provide a definition of the angles underneath.
www.lessonplanspage.com /MathRightAcuteObtuseAngles6.htm   (462 words)

 The law of sines, including the ambiguous case.
The three angles of a triangle are A = 30°, B = 70°, and C = 80°.
The sine of an obtuse angle is defined to be the sine of its supplement.
But the sine of an angle is equal to the sine of its supplement.
www.themathpage.com /aTrig/law-of-sines.htm   (944 words)

 SparkNotes: Special Triangles: Classifying Triangles
A side is opposite an angle, or a vertex, if neither of the endpoints of that side are at the vertex of the specified angle.
When triangles are classified by their angles, they fit into one of four categories: acute, obtuse, right, or equilateral.
If a triangle has one obtuse angle (remember that one is the maximum number of obtuse angles a triangle can have), it is an obtuse triangle.
www.sparknotes.com /math/geometry2/specialtriangles/section1.html   (376 words)

 Math B
An angle bisector is a ray whose endpoint is the vertex of the angle and which divides the angle into two congruent angles.
The sum of the measures of the angles in a linear pair is 180º.
An obtuse angle is an angle whose measure is greater than 90º and less than 180º.
regentsprep.org /Regents/mathb/1A/vocab.htm   (405 words)

 Triangle angle sums
Because triangle AFG is congruent to triangle A'FG, side AG is congruent to side A'G and angle AGF is congruent to angle A'GF.
Angle BGF is congruent to angle B'GF because they are both right angles.
Find a formula for the sum of the interior angles in an n-gon (a polygon with n sides, where n is a positive whole number).
www.math.csusb.edu /courses/m129/tri180.html   (1011 words)

 Bush Angles and Tangles - Acute And Obtuse
An angle of more than 90 degrees and less than 180 degrees is an obtuse angle.
Clearly, the angles created by the slanted straight line intersecting the straight base line are those of an obtuse angle and an acute angle, unless we have right angles created by a perpendicular line to the base each composing 90 degrees and totaling 180 degrees.
It is the case of the acute angle looking to grow itself ever increasingly to a perfect right angle, challenged by the greater magnitude of the obtuse tending towards horizontal inaction.
www.rense.com /general65/obtuse.htm   (1148 words)

 Hamilton - Math To Build On: Angles
Angle is an important term in the trades and has many definitions; however, three definitions cover most of the knowledge we need:
(8) An obtuse angle is an angle between 90° and 180°.
The angle most often used in the trades is the 90° angle.
mathforum.org /~sarah/hamilton/ham.angles.html   (411 words)

 Triangles - free geometry lesson plan from HomeschoolMath.net
Measure some (or all) angles and some (or all) sides of this triangle and then draw it on your own paper.
Measure the two angles and the one side between the angles from the triangle, and then use that information to copy the triangle to your notebook.
angle, and a side of 3 inches between those angles.
www.homeschoolmath.net /teaching/g/triangles.php   (580 words)

 Glossary   (Site not responding. Last check: 2007-10-30)
-An angle whose measure is between 0 and 90 degrees.
-A angle whose measure is between 90 and 180 degrees.
-The common endpoint of two rays forming an angle.
www.calstatela.edu /faculty/eviau/edit557/triangles/robert/gloss.html   (99 words)

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