In the figure, KL = KN, ∠LKN = 34° and ∠PMN = 17°. Find
- ∠f
- ∠g
(a)
∠KLN
= (180° - 34°) ÷ 2
= 73° (Isosceles triangle)
∠f
= 180° - 17° - 73°
= 90° (Angles sum of triangle)
(b)
∠KNM
= 180° - 73°
= 107° (Angles on a straight line)
∠g
= 17° + 107°
= 124° (Exterior angle of a triangle)
Answer(s): (a) 90°; (b) 124°