In the figure, GHK and MLlJ are straight lines. ∠GML = 48°, ∠MGL = 45°, ∠HJK = 34° and ∠HKJ = 115°. Find
- ∠GLH
- ∠LGH
(a)
∠GLM
= 180° - 45° - 48°
= 87° (Angles sum of triangle)
∠GLH
= 180° - 87°
= 93° (Angles on a straight line)
(b)
∠KHJ
= 180° - 115° - 34°
= 31° (Angles sum of triangle)
∠GHL = ∠KHJ = 31° (Vertically opposite angles)
∠LGH
= 180° - 93° - 31°
= 56° (Angles sum of triangle)
Answer(s): (a) 93°; (b) 56°