In the figure, PQ is a straight line. ∠NRP = 90°, ∠SRT is equal to ∠TRQ but 27° more than ∠NRS.
- What line is perpendicular to PQ?
- Find ∠SRT.
(a)
Line NR or RN is perpendicular to PQ
(b)
∠SRT = ∠TRQ = 1 u
∠NRS = 1 u - 27°
1 u + 1 u + 1 u - 27° = 90° (Right angle)
3 u = 90° + 27° = 117°
1 u = 117° ÷ 3 = 39°
Answer(s): (a) NR or RN; (b) 39°