PSLE QRST is a rhombus. TVR and TUSW are straight lines.
- Find ∠QRT.
- Find ∠TSW.
- Find ∠TVU.
(a)
∠QRT
= (180° - 110°) ÷ 2
= 35° (Isosceles triangle)
(b)
∠RST
= ∠RQT
= 110° (Rhombus)
∠TSW
= 180° - 110°
= 70° (Angles on a straight line)
(c)
∠URV
= ∠QRV
= 35° (Rhombus)
∠RUV
= 180° - 63°
= 117° (Angles on a straight line)
∠TVU
= 35° + 117°
= 152° (Exterior angle of a triangle)
Answer(s): (a) 35° (b) 70° (c) 152°