In the figure, RSU and WVlT are straight lines. ∠RWV = 48°, ∠WRV = 48°, ∠STU = 38° and ∠SUT = 105°. Find
- ∠RVS
- ∠VRS
(a)
∠RVW
= 180° - 48° - 48°
= 84° (Angles sum of triangle)
∠RVS
= 180° - 84°
= 96° (Angles on a straight line)
(b)
∠UST
= 180° - 105° - 38°
= 37° (Angles sum of triangle)
∠RSV = ∠UST = 37° (Vertically opposite angles)
∠VRS
= 180° - 96° - 37°
= 47° (Angles sum of triangle)
Answer(s): (a) 96°; (b) 47°
