Question

Using kite DEFG, find the measure of ∡E.



108°

18°

36°

216°
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0502_06/image0024e36f3fb.gif

Answer 1

I don't get how to do this like what equation

Answer 2

since this is a kite, the sum of all the interior angles is 360. you also know that angle E and G are equal by symmetry...

Answer 3

D + E + F + G = 360 degrees

E = G

since you're given D and F, substitute the values into the equation...

Answer 4

divide the kite into two triangles first will be triangle DEG and the other is triangle EFG both these triangle are isosceles
now the sum of all angles in a triangle is 180
for triangle DEG consider the other two angle x
106+x+x=180
106+2x=180
2x=180-106
x=74/2
x=37
this gives you one part of angle E
now for the second part consider triangle EFG
38+x+x=180
38+2x=180
2x=180-38
x=142/2
x=71
now total angle E is equal to sum of the two parts i.e.
<E= 37+71
= 108 degree
so option B is the answer :)

Answer 5

Yeah I got that thank you!