Question

PQR is a straight line if:
1. Angle SQR = 75 degrees find Angle PQS
2. Angle PQSc=110 degree find Angle RQS

Answer 1

(i) From figure

∠PQS + ∠SQR = 180° (Linear pair of angle)

> ∠PQS + 75° = 180°

> ∠PQS = 180° - 75° = 105°

(ii) From figure again,

∠PQS + ∠RQS = 180°

> 110° + ∠RQS = 180°

> ∠RQS = 180°- 110°

> ∠RQS = 70°

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