In the figure, given that MNPQ is a parallelogram and SR is parallel to PQ, find
- ∠MQP
- ∠PMQ
- ∠MPN
(a)
∠RMN = ∠MQP = 30° (Corresponding angles)
(b)
∠PMQ
= 180° - 30° - 39°
= 111° (Angles sum of triangle)
(c)
∠MPN = ∠PMQ = 111° (Alternate angles)
Answer(s): (a) 30°; (b) 111°; (c) 111°