PSLE KLMN is a trapezium with KL parallel to NM. KQL and PQN are straight lines and KP = PL. ∠PKN = 91°.
- Find ∠KNQ.
- Find ∠LPQ.
(a)
∠KNQ
= 180° - 91° - 25°
= 64° (Angles sum of triangle)
(b)
∠KQN
= 70° (Alternate angles)
∠LKP
= 70° - 25°
= 45° (Exterior angle of a triangle)
∠LPQ
= 180° - 45° - 45° - 25°
= 65° (Angles sum of triangle)
Answer(s): (a) 64°; (b) 65°