In the figure, GHK and MLlJ are straight lines. ∠GML = 43°, ∠MGL = 44°, ∠HJK = 26° and ∠HKJ = 104°. Find
- ∠GLH
- ∠LGH
(a)
∠GLM
= 180° - 44° - 43°
= 93° (Angles sum of triangle)
∠GLH
= 180° - 93°
= 87° (Angles on a straight line)
(b)
∠KHJ
= 180° - 104° - 26°
= 50° (Angles sum of triangle)
∠GHL = ∠KHJ = 50° (Vertically opposite angles)
∠LGH
= 180° - 87° - 50°
= 43° (Angles sum of triangle)
Answer(s): (a) 87°; (b) 43°
