In the figure, GHK and MLlJ are straight lines. ∠GML = 40°, ∠MGL = 50°, ∠HJK = 40° and ∠HKJ = 114°. Find
- ∠GLH
- ∠LGH
(a)
∠GLM
= 180° - 50° - 40°
= 90° (Angles sum of triangle)
∠GLH
= 180° - 90°
= 90° (Angles on a straight line)
(b)
∠KHJ
= 180° - 114° - 40°
= 26° (Angles sum of triangle)
∠GHL = ∠KHJ = 26° (Vertically opposite angles)
∠LGH
= 180° - 90° - 26°
= 64° (Angles sum of triangle)
Answer(s): (a) 90°; (b) 64°
