In the figure, given that PQRS is a parallelogram and UT is parallel to RS, find
- ∠PSR
- ∠RPS
- ∠PRQ
(a)
∠TPQ = ∠PSR = 30° (Corresponding angles)
(b)
∠RPS
= 180° - 30° - 36°
= 114° (Angles sum of triangle)
(c)
∠PRQ = ∠RPS = 114° (Alternate angles)
Answer(s): (a) 30°; (b) 114°; (c) 114°