Question

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


A quadrilateral inscribed in a circle. The vertices of the quadrilateral lie on the edge of the circle and are labeled A, B, C, D. The interior angle C is labeled as 74 degrees.

Answer 1

Angles A and C are supplementary when the quadrilateral is inscribed in a circle.
  ∠A = 180° - ∠C
  ∠A = 180° - 74° = 106°