In the given figure, O is the center of the circle. The sum of angles a and b is:
Explanation:
Join OR as shown.
m ∠ORP = m ∠OPR = a …(OP = OR; ∆ORP is isosceles)
Similarly, m ∠ORQ = m ∠OQR = b …(OQ = OR, ∆ORQ is isosceles)
m ∠PRQ = a + b
Now, m ∠PRQ × 2 = m ∠POQ
∴ m ∠PRQ = 25°
∴ a + b = 25°
Hence, option (c).
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