In the figure, PQR is parallel to UVW and the line UR cuts ∠QUW into half. Given that RU and QV are straight lines, ∠PQU = 43°, ∠UVT = 38° and ∠QTR = 114°, find
- ∠v
- ∠x
- ∠w
(a)
∠UTV = ∠QTR = 114° (Vertically opposite angles)
∠v
= 180° - 114° - 38°
= 28° (Angles sum of triangle)
(b)
∠x
= 180° - 28°
= 152° (Interior angles)
(c)
∠w
= 180° - 28° - 28° - 38°
= 99° (Angles sum of triangle)
Answer(s): (a) 28°; (b) 152°; (c) 99°