In the figure, GHK and MLlJ are straight lines. ∠GML = 43°, ∠MGL = 41°, ∠HJK = 39° and ∠HKJ = 114°. Find
- ∠GLH
- ∠LGH
(a)
∠GLM
= 180° - 41° - 43°
= 96° (Angles sum of triangle)
∠GLH
= 180° - 96°
= 84° (Angles on a straight line)
(b)
∠KHJ
= 180° - 114° - 39°
= 27° (Angles sum of triangle)
∠GHL = ∠KHJ = 27° (Vertically opposite angles)
∠LGH
= 180° - 84° - 27°
= 69° (Angles sum of triangle)
Answer(s): (a) 84°; (b) 69°
