Mathematics
OpenStudy (anonymous):

Using kite DEFG, find the measure of ∡E. 216° 108° 36° 18°

OpenStudy (anonymous):

OpenStudy (anonymous):

ummm am not sure what you just wrote, was it the ans ?

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

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...

OpenStudy (anonymous):

que que?

OpenStudy (anonymous):

D + E + F + G = 360 degrees E = G since you're given D and F, substitute the values into the equation...

OpenStudy (anonymous):

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 :)

OpenStudy (anonymous):

yayy thank you :3

OpenStudy (anonymous):

no problem :)