The figure is not drawn to scale. RTUV is a trapezium and RT // VU. Given that RV = RS, ∠VRS = 72° and ∠RTU = 100°.
- Find ∠TUV
- Find ∠RSV
- Find ∠SVU
(a)
∠TUV
= 180° - 100°
= 80° (Interior angles, RT//VU)
(b)
∠RSV
= (180° - 72°) ÷ 2
= 108° ÷ 2
= 54° (Isosceles triangle)
(c)
∠SVU
= ∠RSV
= 54° (Alternate angles, RT//VU)
Answer(s): (a) 80°; (b) 54°; (c) 54°