http://www.ck12.org Chapter 6. Polygons and Quadrilaterals
Example A
Find the other two angle measures in the kite below.
The two angles left are the non-vertex angles, which are congruent.
130 ◦+ 60 ◦+x+x= 360 ◦
2 x= 170 ◦
x= 85 ◦ Both angles are 85◦.Example B
Use the Pythagorean Theorem to find the length of the sides of the kite.
Recall that the Pythagorean Theorem isa^2 +b^2 =c^2 , wherecis the hypotenuse. In this kite, the sides are all
hypotenuses.
62 + 52 =h^2122 + 52 =j^2
36 + 25 =h^2144 + 25 =j^2
61 =h^2169 =j^2
√
61 =h 13 =j