In a circle, O is the centre of the circle, Chords AB and CD intersect at P. If ∠AOD = 32º and ∠COB = 26º, then the measure of ∠APD lies between:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 26º and 30º
∠ABD = 1/2 × ∠AOD = 1/2 × 32 = 16°
∠COB = 1/2 × ∠CDB = 1/2 × 26 = 13°.
∠DPB = 180 - ∠PDB - ∠PBD
∠DPB = 180 - 13 - 16 = 151°.
∠APD + ∠BPD = 180
∠APD = 180 - 151 = 29°.