The figure is not drawn to scale. PQ//SR and RQ//TP. Triangles PTQ and QRS are isosceles triangles. Find
- ∠t
- ∠v.
(a)
∠QRS = ∠QPT = 76° (RQ//TP, QP//RS)
∠PQT
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠RQS
= 180° - 76° - 76°
= 28° (Isosceles triangle)
∠t
= 180° - 76° - 52° - 28°
= 24° (Interior angles, QP//RS)
(b)
∠v
= 180° - 25° - 24°
= 131° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 131°
