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 = 50°, ∠UVT = 33° and ∠QTR = 117°, find
- ∠t
- ∠w
- ∠v
(a)
∠UTV = ∠QTR = 117° (Vertically opposite angles)
∠t
= 180° - 117° - 33°
= 30° (Angles sum of triangle)
(b)
∠w
= 180° - 30°
= 150° (Interior angles)
(c)
∠v
= 180° - 30° - 30° - 33°
= 97° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 150°; (c) 97°