The figure is not drawn to scale. RS//UT and TS//VR. Triangles RVS and STU are isosceles triangles. Find
- ∠c
- ∠d.
(a)
∠STU = ∠SRV = 76° (TS//VR, SR//TU)
∠RSV
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠TSU
= 180° - 76° - 76°
= 28° (Isosceles triangle)
∠c
= 180° - 76° - 52° - 28°
= 24° (Interior angles, SR//TU)
(b)
∠d
= 180° - 29° - 24°
= 127° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 127°
