Question

Quadrilateral ABCD is inscribed in the circle. If m∠A = 95°, what also must be true?

A) m∠B = 95°
B) m∠C = 85°
C) m∠D = 105°
D) m∠D = 95°

Answer 1

When a quadrilateral is inscribed in a circle, the sum of opposite angles is 180 degrees.

A+C=180
95+C=180
C=180-95
C=85

Therefore the answer is B). I hope this helped.