QTUX and QSVX are parallelograms and RWV is an isosceles triangle. Given that ∠RVS = 37°, ∠QXW = 61° and ∠TVU = 48°, find
- ∠SVT,
- ∠TSV.
(a)
∠RVW
= (180° - 26°) ÷ 2
= 77° (Isosceles triangle)
∠SVT
= 180° - 77° - 37° - 48°
= 18° (Angles on a straight line)
(b)
∠TSV
= 180° - 48° -18°
= 114° (Interior angles)
Answer(s): (a) 18°; (b) 114°