Answer:
angle A = 88°
Step-by-step explanation:
Given: inscribed quadrilateral ABCD
(recall that inscribed quadrilaterals have opposite angles supplementary.
A=2x-40
B=116
D=x
From inscribed quadrilateral,
B+D=180 => 116+x = 180 => x=64
A=(2x-40) = 2*64-40 = 88°
(C = 180-88 = 92°)
