In the figure, RSU and WVlT are straight lines. ∠RWV = 44°, ∠WRV = 49°, ∠STU = 33° and ∠SUT = 113°. Find
- ∠RVS
- ∠VRS
(a)
∠RVW
= 180° - 49° - 44°
= 87° (Angles sum of triangle)
∠RVS
= 180° - 87°
= 93° (Angles on a straight line)
(b)
∠UST
= 180° - 113° - 33°
= 34° (Angles sum of triangle)
∠RSV = ∠UST = 34° (Vertically opposite angles)
∠VRS
= 180° - 93° - 34°
= 53° (Angles sum of triangle)
Answer(s): (a) 93°; (b) 53°
