In the figure, RSU and WVlT are straight lines. ∠RWV = 40°, ∠WRV = 46°, ∠STU = 37° and ∠SUT = 110°. Find
- ∠RVS
- ∠VRS
(a)
∠RVW
= 180° - 46° - 40°
= 94° (Angles sum of triangle)
∠RVS
= 180° - 94°
= 86° (Angles on a straight line)
(b)
∠UST
= 180° - 110° - 37°
= 33° (Angles sum of triangle)
∠RSV = ∠UST = 33° (Vertically opposite angles)
∠VRS
= 180° - 86° - 33°
= 61° (Angles sum of triangle)
Answer(s): (a) 86°; (b) 61°
