In the figure, GHK and MLlJ are straight lines. ∠GML = 42°, ∠MGL = 48°, ∠HJK = 40° and ∠HKJ = 103°. Find
- ∠GLH
- ∠LGH
(a)
∠GLM
= 180° - 48° - 42°
= 90° (Angles sum of triangle)
∠GLH
= 180° - 90°
= 90° (Angles on a straight line)
(b)
∠KHJ
= 180° - 103° - 40°
= 37° (Angles sum of triangle)
∠GHL = ∠KHJ = 37° (Vertically opposite angles)
∠LGH
= 180° - 90° - 37°
= 53° (Angles sum of triangle)
Answer(s): (a) 90°; (b) 53°