In the figure, QRST is a parallelogram. SV, VW and QR are straight lines. QTU is an isosceles triangle.
- Find ∠f.
- Find ∠g.
(a)
∠SVQ = ∠RQW = 66° (Corresponding angles, QR//VS)
∠VUQ
= 180° - ∠SVQ - ∠VQU
= 180° - 66° - 20°
= 94° (Angles sum of triangle)
∠TUQ
= 180° - 94°
= 86° (Angles on a straight line)
∠UTQ = ∠TUQ = 86° (Isosceles triangle)
∠f
= ∠UTQ
= 86° (Corresponding angles, RS//QT)
(b)
∠g
= 180° - 86° - 86°
= 8° (Isosceles triangle QTU)
Answer(s): (a) 86°; (b) 8°