In the figure, LMQ and PMN are right-angled triangles. QM is parallel to PN. Find
- ∠MNP
- ∠MQP
(a)
∠PMQ
= 360° - 90° - 90° - 121°
= 59° (Angles at a point)
∠MPN = ∠PMQ = 59° (Alternate angles)
∠MNP
= 180° - ∠PMN - ∠MPN
= 180° - 90° - 59°
= 31° (Angles sum of triangle)
(b)
∠MQP
= 180° - ∠PMQ - ∠MPQ
= 180° - 59° - 81°
= 40° (Angles sum of triangle)
Answer(s): (a) 31°; (b) 40°