In the figure, GHK and MLlJ are straight lines. ∠GML = 42°, ∠MGL = 48°, ∠HJK = 32° and ∠HKJ = 107°. 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° - 107° - 32°
= 41° (Angles sum of triangle)
∠GHL = ∠KHJ = 41° (Vertically opposite angles)
∠LGH
= 180° - 90° - 41°
= 49° (Angles sum of triangle)
Answer(s): (a) 90°; (b) 49°
