In the figure, RSU and WVlT are straight lines. ∠RWV = 40°, ∠WRV = 48°, ∠STU = 29° and ∠SUT = 111°. Find
- ∠RVS
- ∠VRS
(a)
∠RVW
= 180° - 48° - 40°
= 92° (Angles sum of triangle)
∠RVS
= 180° - 92°
= 88° (Angles on a straight line)
(b)
∠UST
= 180° - 111° - 29°
= 40° (Angles sum of triangle)
∠RSV = ∠UST = 40° (Vertically opposite angles)
∠VRS
= 180° - 88° - 40°
= 52° (Angles sum of triangle)
Answer(s): (a) 88°; (b) 52°