In the figure, RSU and WVlT are straight lines. ∠RWV = 43°, ∠WRV = 50°, ∠STU = 37° and ∠SUT = 117°. Find
- ∠RVS
- ∠VRS
(a)
∠RVW
= 180° - 50° - 43°
= 87° (Angles sum of triangle)
∠RVS
= 180° - 87°
= 93° (Angles on a straight line)
(b)
∠UST
= 180° - 117° - 37°
= 26° (Angles sum of triangle)
∠RSV = ∠UST = 26° (Vertically opposite angles)
∠VRS
= 180° - 93° - 26°
= 61° (Angles sum of triangle)
Answer(s): (a) 93°; (b) 61°