PSLE QRST is a rhombus. TVR and TUSW are straight lines.
- Find ∠QRT.
- Find ∠TSW.
- Find ∠TVU.
(a)
∠QRT
= (180° - 106°) ÷ 2
= 37° (Isosceles triangle)
(b)
∠RST
= ∠RQT
= 106° (Rhombus)
∠TSW
= 180° - 106°
= 74° (Angles on a straight line)
(c)
∠URV
= ∠QRV
= 37° (Rhombus)
∠RUV
= 180° - 69°
= 111° (Angles on a straight line)
∠TVU
= 37° + 111°
= 148° (Exterior angle of a triangle)
Answer(s): (a) 37° (b) 74° (c) 148°