188k views
4 votes
​Quadrilateral ABCD​ is inscribed in this circle.

What is the measure of ∠A?

​Quadrilateral ABCD​ is inscribed in this circle. What is the measure of ∠A?-example-1
User NVM
by
8.7k points

1 Answer

4 votes

Answer:

∠ 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°

User Lasitha Petthawadu
by
7.6k points