In the figure, RSU and WVlT are straight lines. ∠RWV = 50°, ∠WRV = 43°, ∠STU = 35° and ∠SUT = 101°. Find
- ∠RVS
- ∠VRS
(a)
∠RVW
= 180° - 43° - 50°
= 87° (Angles sum of triangle)
∠RVS
= 180° - 87°
= 93° (Angles on a straight line)
(b)
∠UST
= 180° - 101° - 35°
= 44° (Angles sum of triangle)
∠RSV = ∠UST = 44° (Vertically opposite angles)
∠VRS
= 180° - 93° - 44°
= 43° (Angles sum of triangle)
Answer(s): (a) 93°; (b) 43°