In the figure, GHK and MLlJ are straight lines. ∠GML = 47°, ∠MGL = 50°, ∠HJK = 35° and ∠HKJ = 104°. Find
- ∠GLH
- ∠LGH
(a)
∠GLM
= 180° - 50° - 47°
= 83° (Angles sum of triangle)
∠GLH
= 180° - 83°
= 97° (Angles on a straight line)
(b)
∠KHJ
= 180° - 104° - 35°
= 41° (Angles sum of triangle)
∠GHL = ∠KHJ = 41° (Vertically opposite angles)
∠LGH
= 180° - 97° - 41°
= 42° (Angles sum of triangle)
Answer(s): (a) 97°; (b) 42°
