In the figure, QRT and VUlS are straight lines. ∠QVU = 44°, ∠VQU = 50°, ∠RST = 34° and ∠RTS = 115°. Find
- ∠QUR
- ∠UQR
(a)
∠QUV
= 180° - 50° - 44°
= 86° (Angles sum of triangle)
∠QUR
= 180° - 86°
= 94° (Angles on a straight line)
(b)
∠TRS
= 180° - 115° - 34°
= 31° (Angles sum of triangle)
∠QRU = ∠TRS = 31° (Vertically opposite angles)
∠UQR
= 180° - 94° - 31°
= 55° (Angles sum of triangle)
Answer(s): (a) 94°; (b) 55°
