Question

Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of ∠A ?

Enter your answer in the box.


____°

Answer 1

Measure of ∠A is 106°

Explanation:

We are given that, 'Quadrilateral ABCD is inscribed in the circle'.

So, we get that,

'ABCD is a cyclic quadrilateral' i.e. The sum of the opposite interior angles is 180°.

Thus, we have,

∠A +∠C = 180°

i.e. ∠A + 74° = 180°

i.e. ∠A = 180° - 74°

i.e. ∠A = 106°

Thus, the measure of ∠A is 106°.