In the figure, ∠PRQ = 90°. ∠PRS is 30° more than ∠QRS.
- What line is perpendicular to PR?
- Find ∠PRS.
(a)
Line QR or RQ is perpendicular to PR.
(b)
∠QRS = 1 u
∠PRS = 1 u + 30
1 u + 1 u + 30° = 90° (Right angle)
2 u = 90° - 30° = 60°
1 u = 60° ÷ 2 = 30°
∠PRS
= 30° + 30°
= 60°
Answer(s): (a) QR or RQ; (b) 60°