In the figure, RSTU is a parallelogram. TW, WX and RS are straight lines. RUV is an isosceles triangle.
- Find ∠d.
- Find ∠e.
(a)
∠TWR = ∠SRX = 65° (Corresponding angles, RS//WT)
∠WVR
= 180° - ∠TWR - ∠WRV
= 180° - 65° - 18°
= 97° (Angles sum of triangle)
∠UVR
= 180° - 97°
= 83° (Angles on a straight line)
∠VUR = ∠UVR = 83° (Isosceles triangle)
∠d
= ∠VUR
= 83° (Corresponding angles, ST//RU)
(b)
∠e
= 180° - 83° - 83°
= 14° (Isosceles triangle RUV)
Answer(s): (a) 83°; (b) 14°