In the figure, QRT and VUlS are straight lines. ∠QVU = 45°, ∠VQU = 41°, ∠RST = 36° and ∠RTS = 120°. Find
- ∠QUR
- ∠UQR
(a)
∠QUV
= 180° - 41° - 45°
= 94° (Angles sum of triangle)
∠QUR
= 180° - 94°
= 86° (Angles on a straight line)
(b)
∠TRS
= 180° - 120° - 36°
= 24° (Angles sum of triangle)
∠QRU = ∠TRS = 24° (Vertically opposite angles)
∠UQR
= 180° - 86° - 24°
= 70° (Angles sum of triangle)
Answer(s): (a) 86°; (b) 70°
