In the figure, RSTU is a parallelogram. TW, WX and RS are straight lines. RUV is an isosceles triangle.
- Find ∠f.
- Find ∠g.
(a)
∠TWR = ∠SRX = 59° (Corresponding angles, RS//WT)
∠WVR
= 180° - ∠TWR - ∠WRV
= 180° - 59° - 16°
= 105° (Angles sum of triangle)
∠UVR
= 180° - 105°
= 75° (Angles on a straight line)
∠VUR = ∠UVR = 75° (Isosceles triangle)
∠f
= ∠VUR
= 75° (Corresponding angles, ST//RU)
(b)
∠g
= 180° - 75° - 75°
= 30° (Isosceles triangle RUV)
Answer(s): (a) 75°; (b) 30°
