In the figure, QRT and VUlS are straight lines. ∠QVU = 42°, ∠VQU = 41°, ∠RST = 27° and ∠RTS = 109°. Find
- ∠QUR
- ∠UQR
(a)
∠QUV
= 180° - 41° - 42°
= 97° (Angles sum of triangle)
∠QUR
= 180° - 97°
= 83° (Angles on a straight line)
(b)
∠TRS
= 180° - 109° - 27°
= 44° (Angles sum of triangle)
∠QRU = ∠TRS = 44° (Vertically opposite angles)
∠UQR
= 180° - 83° - 44°
= 53° (Angles sum of triangle)
Answer(s): (a) 83°; (b) 53°