In the figure, RSTU is a parallelogram. TW, WX and RS are straight lines. RUV is an isosceles triangle.
- Find ∠r.
- Find ∠s.
(a)
∠TWR = ∠SRX = 63° (Corresponding angles, RS//WT)
∠WVR
= 180° - ∠TWR - ∠WRV
= 180° - 63° - 21°
= 96° (Angles sum of triangle)
∠UVR
= 180° - 96°
= 84° (Angles on a straight line)
∠VUR = ∠UVR = 84° (Isosceles triangle)
∠r
= ∠VUR
= 84° (Corresponding angles, ST//RU)
(b)
∠s
= 180° - 84° - 84°
= 12° (Isosceles triangle RUV)
Answer(s): (a) 84°; (b) 12°