In the figure, KLMN is a parallelogram. MQ, QR and KL are straight lines. KNP is an isosceles triangle.
- Find ∠e.
- Find ∠f.
(a)
∠MQK = ∠LKR = 62° (Corresponding angles, KL//QM)
∠QPK
= 180° - ∠MQK - ∠QKP
= 180° - 62° - 18°
= 100° (Angles sum of triangle)
∠NPK
= 180° - 100°
= 80° (Angles on a straight line)
∠PNK = ∠NPK = 80° (Isosceles triangle)
∠e
= ∠PNK
= 80° (Corresponding angles, LM//KN)
(b)
∠f
= 180° - 80° - 80°
= 20° (Isosceles triangle KNP)
Answer(s): (a) 80°; (b) 20°