In the figure, FGHJ and GLMN are two rhombuses. If ∠LMN = 118° and ∠FJH = 91°, calculate
- ∠MLN
- ∠MHG
- ∠NPH
(a)
∠MLN
= (180° - 118°) ÷ 2
= 31° (Isosceles triangle)
(b)
∠MHG = ∠FJH = 91° (Corresponding angles)
(c)
∠NPH
= 91° - 31°
= 60° (Exterior angle of a triangle)
Answer(s): (a) 31°; (b) 91°; (c) 60°