Q140
In a circle, O is the centre of the circle. Chords AB and CD intersect at P. If ∠AOD = 32° and ∠COB = 26°, then the measure of ∠APD lies between:
A.
18° and 22°
B.
26° and 30°
AnswerC.
30° and 34°
D.
22° and 26°
Answer: Option B
Solution
Answer: Option B
Solution:
∠AOD = 2∠ABD
∠COB = 2∠CDB
∠AOD + ∠COB = 2(∠ABD + ∠CDB)
32° + 26° = 2∠APD
∠APD = 29°