In the figure, NP is a straight line. ∠MQN = 90°, ∠RQS is equal to ∠SQP but 30° more than ∠MQR.
- What line is perpendicular to NP?
- Find ∠RQS.
(a)
Line MQ or QM is perpendicular to NP
(b)
∠RQS = ∠SQP = 1 u
∠MQR = 1 u - 30°
1 u + 1 u + 1 u - 30° = 90° (Right angle)
3 u = 90° + 30° = 120°
1 u = 120° ÷ 3 = 40°
Answer(s): (a) MQ or QM; (b) 40°