In the figure, QRT and VUlS are straight lines. ∠QVU = 41°, ∠VQU = 43°, ∠RST = 31° and ∠RTS = 120°. Find
- ∠QUR
- ∠UQR
(a)
∠QUV
= 180° - 43° - 41°
= 96° (Angles sum of triangle)
∠QUR
= 180° - 96°
= 84° (Angles on a straight line)
(b)
∠TRS
= 180° - 120° - 31°
= 29° (Angles sum of triangle)
∠QRU = ∠TRS = 29° (Vertically opposite angles)
∠UQR
= 180° - 84° - 29°
= 67° (Angles sum of triangle)
Answer(s): (a) 84°; (b) 67°