In the figure, GHK and MLlJ are straight lines. ∠GML = 48°, ∠MGL = 47°, ∠HJK = 38° and ∠HKJ = 100°. Find
- ∠GLH
- ∠LGH
(a)
∠GLM
= 180° - 47° - 48°
= 85° (Angles sum of triangle)
∠GLH
= 180° - 85°
= 95° (Angles on a straight line)
(b)
∠KHJ
= 180° - 100° - 38°
= 42° (Angles sum of triangle)
∠GHL = ∠KHJ = 42° (Vertically opposite angles)
∠LGH
= 180° - 95° - 42°
= 43° (Angles sum of triangle)
Answer(s): (a) 95°; (b) 43°
