Question

Quadrilateral ABCD ​ is inscribed in this circle. What is the measure of angle A?

Answer 1

Answer:

The measure of angle A =  65°

Step-by-step explanation:

The sum of opposite angles of cyclic quadrilateral is 180°

From the figure we can see that,quadrilateral ABCD ​ is inscribed in a circle.

To find the value of x

m<B + m<D = 180°

x + 148 = 180

x = 180 - 148 = 32°  

To find the value of angle A

m<A = 2x + 1

x = 32

m<A  = 2*32 + 1 = 64 + 1 = 65°

Therefore the measure of angle A =  65°