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 = 74° (SR//UQ, RQ//ST)
∠QRU
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
∠SRT
= 180° - 74° - 74°
= 32° (Isosceles triangle)
∠f
= 180° - 74° - 53° - 32°
= 21° (Interior angles, RQ//ST)
(b)
∠g
= 180° - 29° - 21°
= 130° (Angles sum of triangle)
Answer(s): (a) 21°; (b) 130°