Question

​Quadrilateral ABCD​ is inscribed in this circle.

What is the measure of ∠A?

Answer 1

∠ A = 98°

Explanation:

ABCD is a cyclic quadrilateral

its opposite angles sum to 180° , that is

∠ A + ∠ C = 180°

∠ A + 82° = 180° ( subtract 82° from both sides )

∠ A = 98°