Since kites have two distinct pairs of consecutive, congruent sides their diagonals are perpendicular and one diagonal bisects the other.
Since perpendicular lines intersect at 90° every triangle in a kite is a right triangle. Since it is given that angle DEF is 72° and we know triangles equal 180°
72+90=162 180-162 =18
so angle EFD is 18° and because angle EFD is a bisected part of angle EFG - 18x2=36
