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°
C. 30° and 34°
D. 22° and 26°
Answer: Option B
Solution (By Examveda Team)

∠AOD = 2∠ABD
∠COB = 2∠CDB
∠AOD + ∠COB = 2(∠ABD + ∠CDB)
32° + 26° = 2∠APD
∠APD = 29°
Related Questions on Geometry
A. $$\frac{{23\sqrt {21} }}{4}$$
B. $$\frac{{15\sqrt {21} }}{4}$$
C. $$\frac{{17\sqrt {21} }}{5}$$
D. $$\frac{{23\sqrt {21} }}{5}$$
In the given figure, ∠ONY = 50° and ∠OMY = 15°. Then the value of the ∠MON is

A. 30°
B. 40°
C. 20°
D. 70°


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