In the figure, LM is a straight line. ∠KNL = 90°, ∠PNQ is equal to ∠QNM but 27° more than ∠KNP.
- What line is perpendicular to LM?
- Find ∠PNQ.
(a)
Line KN or NK is perpendicular to LM
(b)
∠PNQ = ∠QNM = 1 u
∠KNP = 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) KN or NK; (b) 39°