In the figure, EFGH and FKLM are two rhombuses. If ∠KLM = 115° and ∠EHG = 99°, calculate
- ∠LKM
- ∠LGF
- ∠MNG
(a)
∠LKM
= (180° - 115°) ÷ 2
= 32.5° (Isosceles triangle)
(b)
∠LGF = ∠EHG = 99° (Corresponding angles)
(c)
∠MNG
= 99° - 32.5°
= 66.5° (Exterior angle of a triangle)
Answer(s): (a) 32.5°; (b) 99°; (c) 66.5°