Question

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

Answer 1

Check the picture below.

Answer 2

A = 137°

Explanation:

We are given a figure of a quadrilateral ABCD which is inscribed in a circle and we are to find the measure of angle A.

We know that the opposite angles of the quadrilateral are supplementary which means that they add up to 180 degrees.

Here the opposite angle of A is C which is 43 degrees.

So, A + 43° = 180°

A = 180° - 43°

A = 137°