In a circle with center O, chords AB and CD intersect at point P. If ∠AOC = 80° and ∠BOD = 60°, what is the measure of ∠APC?
Show answer & explanation
Correct answer: B
Explanation
Given:
∠AOC = 80°
∠BOD = 60°
Chords AB and CD intersect at point P
For internally intersecting chords,
∠APC = 1/2 (∠AOC + ∠BOD)
∠APC = 1/2 (80 + 60)
= 1/2 × 140
= 70°