In the figure, ∠MPN = 90°. ∠MPQ is 33° more than ∠NPQ.
- What line is perpendicular to MP?
- Find ∠MPQ.
(a)
Line NP or PN is perpendicular to MP.
(b)
∠NPQ = 1 u
∠MPQ = 1 u + 33
1 u + 1 u + 33° = 90° (Right angle)
2 u = 90° - 33° = 57°
1 u = 57° ÷ 2 = 28.5°
∠MPQ
= 28.5° + 33°
= 61.5°
Answer(s): (a) NP or PN; (b) 61.5°