In the figure, QRT and VUlS are straight lines. ∠QVU = 41°, ∠VQU = 46°, ∠RST = 33° and ∠RTS = 110°. Find
- ∠QUR
- ∠UQR
(a)
∠QUV
= 180° - 46° - 41°
= 93° (Angles sum of triangle)
∠QUR
= 180° - 93°
= 87° (Angles on a straight line)
(b)
∠TRS
= 180° - 110° - 33°
= 37° (Angles sum of triangle)
∠QRU = ∠TRS = 37° (Vertically opposite angles)
∠UQR
= 180° - 87° - 37°
= 56° (Angles sum of triangle)
Answer(s): (a) 87°; (b) 56°