The figure is not drawn to scale. It shows a parallelogram HJKL and an isosceles triangle EHL next to it. ∠GLE = 10°. GF and ED are straight lines. Find
- ∠p
- ∠m + ∠n
- ∠n
(a)
∠p
= 180° - ∠GLE
= 180° - 10°
= 170° (Angles on a straight line)
(b)
∠m = ∠HLK (Parallelogram)
∠m + ∠n
= 180° - 10° - 58°
= 112° (Angles on a straight line)
(c)
∠EHL = ∠m (Corresponding angles)
∠EHL = ∠LEH (Isosceles triangle)
∠m
= 180° - (∠m + ∠n)
= 180° - 112°
= 68°
∠n
= 180° - ∠m - ∠m
= 180° - 68° - 68°
= 44° (Angles sum of triangle)
Answer(s): (a) 170°; (b) 112°; (c) 44°