Question

Quadrilateral ABCD​ is inscribed in a circle.

What is the measure of angle A?



Enter your answer in the box.

m∠A=
°

Answer 1

135°

Explanation:

this is a cyclic quadrilateral, so the sum of opposite sides are 180
hence,

3x+6 + x+2 = 180
4x = 180 - (6+2)
4x = 172
x = 172/4
x = 43

therefore, m∠A is :

3(43) + 6
= 129 + 6
= 135°

hope it helps