In the figure, DEF is parallel to GHJ and GF cuts ∠EGH equally. Given that ∠DEG = 42° and ∠EKF = 120°, find
- ∠e
- ∠f
(a)
∠DEG = ∠EGH (Alternate angles)
∠e
= 42° ÷ 2
= 21°
(b)
∠EGK = ∠e = 21°
∠f
= 120° - 21°
= 99° (Exterior angle of a triangle)
Answer(s): (a) 21°; (b) 99°