In the figure, RSU and WVlT are straight lines. ∠RWV = 44°, ∠WRV = 43°, ∠STU = 26° and ∠SUT = 107°. Find
- ∠RVS
- ∠VRS
(a)
∠RVW
= 180° - 43° - 44°
= 93° (Angles sum of triangle)
∠RVS
= 180° - 93°
= 87° (Angles on a straight line)
(b)
∠UST
= 180° - 107° - 26°
= 47° (Angles sum of triangle)
∠RSV = ∠UST = 47° (Vertically opposite angles)
∠VRS
= 180° - 87° - 47°
= 46° (Angles sum of triangle)
Answer(s): (a) 87°; (b) 46°
