In the figure, RSTU is a parallelogram. TW, WX and RS are straight lines. RUV is an isosceles triangle.
- Find ∠w.
- Find ∠x.
(a)
∠TWR = ∠SRX = 62° (Corresponding angles, RS//WT)
∠WVR
= 180° - ∠TWR - ∠WRV
= 180° - 62° - 20°
= 98° (Angles sum of triangle)
∠UVR
= 180° - 98°
= 82° (Angles on a straight line)
∠VUR = ∠UVR = 82° (Isosceles triangle)
∠w
= ∠VUR
= 82° (Corresponding angles, ST//RU)
(b)
∠x
= 180° - 82° - 82°
= 16° (Isosceles triangle RUV)
Answer(s): (a) 82°; (b) 16°