The figure is not drawn to scale. QR//TS and SR//UQ. Triangles QUR and RST are isosceles triangles. Find
- ∠f
- ∠g.
(a)
∠RST = ∠RQU = 78° (SR//UQ, RQ//ST)
∠QRU
= (180° - 78°) ÷ 2
= 102° ÷ 2
= 51° (Isosceles triangle)
∠SRT
= 180° - 78° - 78°
= 24° (Isosceles triangle)
∠f
= 180° - 78° - 51° - 24°
= 27° (Interior angles, RQ//ST)
(b)
∠g
= 180° - 26° - 27°
= 127° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 127°
