Question

Quadrilateral ABCD​ is inscribed in a circle.

What is the measure of angle A?



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m∠A=
°

Answer 1

Answer:

135°

Step-by-step 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