In the figure, GHK and MLlJ are straight lines. ∠GML = 49°, ∠MGL = 47°, ∠HJK = 26° and ∠HKJ = 111°. Find
- ∠GLH
- ∠LGH
(a)
∠GLM
= 180° - 47° - 49°
= 84° (Angles sum of triangle)
∠GLH
= 180° - 84°
= 96° (Angles on a straight line)
(b)
∠KHJ
= 180° - 111° - 26°
= 43° (Angles sum of triangle)
∠GHL = ∠KHJ = 43° (Vertically opposite angles)
∠LGH
= 180° - 96° - 43°
= 41° (Angles sum of triangle)
Answer(s): (a) 96°; (b) 41°