In the diagram shown, LMN is a right-angled triangle and LM = MN = LP. Find
- ∠PLN
- ∠LPM
(a)
∠LNM
= (180° - 90°) ÷ 2
= 45° (Isosceles triangle)
∠PLN
= 45° - 27°
= 18°
(b)
∠LPM
= (180° - 27°) ÷ 2
= 76.5° (Isosceles triangle)
Answer(s): (a) 18°; (b) 76.5°