In the figure, LMQ and PMN are right-angled triangles. QM is parallel to PN. Find
- ∠MNP
- ∠MQP
(a)
∠PMQ
= 360° - 90° - 90° - 126°
= 54° (Angles at a point)
∠MPN = ∠PMQ = 54° (Alternate angles)
∠MNP
= 180° - ∠PMN - ∠MPN
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
(b)
∠MQP
= 180° - ∠PMQ - ∠MPQ
= 180° - 54° - 80°
= 46° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 46°
