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To find the angle measure in the given figure.

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Explanation:

 

 

Quadrilateral

 

In Euclidean plane geometry, a quadrilateral is a polygon with four sides (or 'edges') and four vertices or corners. Sometimes, the term quadrangle is used, by analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided), hexagon (6-sided) and so on. The word quadrilateral is made of the words quad (meaning "four") and lateral (meaning "of sides").

 

The interior angles of a simple quadrilateral add up to 360 degrees of arc. (Our solved example in mathguru.com uses this concept)

 

Quadrilateral

Description: Six Quadrilaterals.svg
Six different types of quadrilaterals

Edges and Vertices

4

 

 

http://en.wikipedia.org/wiki/Quadrilateral

Types of angles

 

Description: http://upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Angle_obtuse_acute_straight.svg/241px-Angle_obtuse_acute_straight.svg.png

Here, a and b are supplementary angles.

Angles equal to 1/2 turn (180° or two right angles) are called straight angles. (Our solved example in mathguru.com uses this concept)

Description: http://upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Right_angle.svg/134px-Right_angle.svg.png

Right angle

 

An angle equal to 1/4 turn (90° or π/2 radians) is called a right angle. (Our solved example in mathguru.com uses this concept)

Two lines that form a right angle are said to be perpendicular or orthogonal

 

http://en.wikipedia.org/wiki/Angle

 

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.