In the figure, LMQ and PMN are right-angled triangles. QM is parallel to PN. Find
- ∠MNP
- ∠MQP
(a)
∠PMQ
= 360° - 90° - 90° - 124°
= 56° (Angles at a point)
∠MPN = ∠PMQ = 56° (Alternate angles)
∠MNP
= 180° - ∠PMN - ∠MPN
= 180° - 90° - 56°
= 34° (Angles sum of triangle)
(b)
∠MQP
= 180° - ∠PMQ - ∠MPQ
= 180° - 56° - 84°
= 40° (Angles sum of triangle)
Answer(s): (a) 34°; (b) 40°