The figure is not drawn to scale. RS//UT and TS//VR. Triangles RVS and STU are isosceles triangles. Find
- ∠e
- ∠f.
(a)
∠STU = ∠SRV = 74° (TS//VR, SR//TU)
∠RSV
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
∠TSU
= 180° - 74° - 74°
= 32° (Isosceles triangle)
∠e
= 180° - 74° - 53° - 32°
= 21° (Interior angles, SR//TU)
(b)
∠f
= 180° - 28° - 21°
= 131° (Angles sum of triangle)
Answer(s): (a) 21°; (b) 131°