The figure is not drawn to scale. RS//UT and TS//VR. Triangles RVS and STU are isosceles triangles. Find
- ∠y
- ∠z.
(a)
∠STU = ∠SRV = 70° (TS//VR, SR//TU)
∠RSV
= (180° - 70°) ÷ 2
= 110° ÷ 2
= 55° (Isosceles triangle)
∠TSU
= 180° - 70° - 70°
= 40° (Isosceles triangle)
∠y
= 180° - 70° - 55° - 40°
= 15° (Interior angles, SR//TU)
(b)
∠z
= 180° - 24° - 15°
= 141° (Angles sum of triangle)
Answer(s): (a) 15°; (b) 141°