In the figure, LN is parallel to QP and LR is parallel to MS. LRQ is a straight line, ∠LRS = 101°. ∠RLM = 103° and the sum of ∠MNP and ∠PQR is 159°. Find
- ∠RSM
- ∠QPN
(a)
∠RSM
= 180° - 101°
= 79° (Interior angles)
(b)
∠QPN
= 360° - 159° - 103°
= 98° (Sum of angles in a quadrilateral)
Answer(s): (a) 79°; (b) 98°