In the figure, PQRS is a parallelogram. RU, UV and PQ are straight lines. PST is an isosceles triangle.
- Find ∠w.
- Find ∠x.
(a)
∠RUP = ∠QPV = 62° (Corresponding angles, PQ//UR)
∠UTP
= 180° - ∠RUP - ∠UPT
= 180° - 62° - 19°
= 99° (Angles sum of triangle)
∠STP
= 180° - 99°
= 81° (Angles on a straight line)
∠TSP = ∠STP = 81° (Isosceles triangle)
∠w
= ∠TSP
= 81° (Corresponding angles, QR//PS)
(b)
∠x
= 180° - 81° - 81°
= 18° (Isosceles triangle PST)
Answer(s): (a) 81°; (b) 18°
