In the figure, ABCD and BFGH are two rhombuses. If ∠FGH = 117° and ∠ADC = 99°, calculate
- ∠GFH
- ∠GCB
- ∠HJC
(a)
∠GFH
= (180° - 117°) ÷ 2
= 31.5° (Isosceles triangle)
(b)
∠GCB = ∠ADC = 99° (Corresponding angles)
(c)
∠HJC
= 99° - 31.5°
= 67.5° (Exterior angle of a triangle)
Answer(s): (a) 31.5°; (b) 99°; (c) 67.5°