Question

(4x + 5)

Quadrilateral ABCD is inscribed in a

circle.

What is the measure of angle A?

(x + 15)

Enter your answer in the box

mZA=

Answer 1

<A = 133degrees

Explanation:

Find the diagram attached

Using the theorem that "the sum of opposite angle of a cyclic quadilateral is 180 degrees, hence;

m<A + m<C = 180

4x+5 + x + 15 = 180

4x+x+5+15 = 180

5x+20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32degrees

Get the measure of angle A

<A = 4x+5

<A = 4(32)+5

<A = 128+5

<A = 133degrees