Find the measure of ∠A if ∠A = 3 2 x + 20 ∠B = 7 2 x + 20 ∠C = 5 2 x + 40 ∠D = 3 2 x + 10

Answer:
65°
Step-by-step explanation:
Opposite angles in a cyclic quadrilateral are supplementary.
5
2
x + 40 +
3
2
x + 20 = 180
x = 30
then,
∠A =
3
2
x + 20
∠A =
3
2
(30) + 20 = 65