Question

Use the given figure to find:

1. ∠BAD,
2. ∠DQB.

Answer 1

i. By angle sum property of ∆ADP,

∠BAD = 180° – 85° – 40° = 55°

ii. ∠ABC = 180° – ∠ADC = 180° – 85° = 95°

(Pair of opposite angles in a cyclic quadrilateral are supplementary)

By angle sum property,

∠AQB = 180° – 95° – 55°

`=>` ∠DQB = 30°