LMNP is a square. WVN and MVP are straight lines. ML = MW and ∠VMW = 11°. Find
- ∠MLW
- ∠PNW
.
(a)
∠LMP = 45° (Right angle)
∠LMW
= ∠LMP - ∠VMW
= 45° - 11°
= 34°
∠MLW
= (180° - ∠LMW) ÷ 2
= (180° - 34°) ÷ 2
= 146° ÷ 2
= 73° (Isosceles triangle)
(b)
ML = MW = MN
WMN is an isosceles triangle.
∠MWN = ∠MNW (Isosceles triangle)
∠MNW
= (180° - ∠PMN - ∠VMW) ÷ 2
= (180° - 45° -11°) ÷ 2
= 124° ÷ 2
= 62°
∠PNW
= ∠MNP - ∠MNW
= 90° - 62°
= 28°
Answer(s): (a) 73°; (b) 28°
