Given,
∠AQD = 155°
∠AQB and ∠AQD are supplementary angles and Supplementary angles are two angles whose measures add up to 180° .
∠AQB + ∠AQD =180
∠AQB + 155° = 180°
∠AQB = 180° - 155°
∠AQB = 25°
∠CQB and ∠AQB are complementary angles and if the sum of two angles is 90 degrees, then they are said to be complementary angles.
∠CQB + ∠AQB = 90°
∠CQB + 25° = 90°
∠CQB = 90°-25°
∠CQB = 65°
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