In a cyclic quadrilateral ABCD, angle A measures 85 degrees. What is the degree measure of the opposite angle C?
Answer and explanation
Correct answer: A. 95 degrees
- Step 1: Opposite angles of any cyclic quadrilateral are supplementary (sum to 180 degrees). Step 2. Therefore: Angle C = 180 degrees - Angle A = 180 - 85 = 95 degrees. Answer: 95 degrees. Why not the others: 85 degrees assumes opposite angles are equal; 105 degrees subtracts 75; 75 degrees is 180 - 105.
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