In the figure, RSTU is a parallelogram. TW, WX and RS are straight lines. RUV is an isosceles triangle.
- Find ∠m.
- Find ∠n.
(a)
∠TWR = ∠SRX = 60° (Corresponding angles, RS//WT)
∠WVR
= 180° - ∠TWR - ∠WRV
= 180° - 60° - 20°
= 100° (Angles sum of triangle)
∠UVR
= 180° - 100°
= 80° (Angles on a straight line)
∠VUR = ∠UVR = 80° (Isosceles triangle)
∠m
= ∠VUR
= 80° (Corresponding angles, ST//RU)
(b)
∠n
= 180° - 80° - 80°
= 20° (Isosceles triangle RUV)
Answer(s): (a) 80°; (b) 20°