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**Question:**

In the given figure, ∠AOD = 135∘ then ∠BOC is equal to

(a) 25∘

(b) 45∘

(c) 52.5∘

(d) 62.5∘

**Solution:**

We know that the sum of angles subtended by opposite sides of a quadrilateral having a circumscribed circle is 180 degrees.

∴∠AOD + ∠BOC = 180∘

⇒∠BOC = 180∘ − 135∘ = 45∘

Hence, the correct answer is option (b).