The figure is not drawn to scale. QR//TS and SR//UQ. Triangles QUR and RST are isosceles triangles. Find
- ∠g
- ∠h.
(a)
∠RST = ∠RQU = 70° (SR//UQ, RQ//ST)
∠QRU
= (180° - 70°) ÷ 2
= 110° ÷ 2
= 55° (Isosceles triangle)
∠SRT
= 180° - 70° - 70°
= 40° (Isosceles triangle)
∠g
= 180° - 70° - 55° - 40°
= 15° (Interior angles, RQ//ST)
(b)
∠h
= 180° - 26° - 15°
= 139° (Angles sum of triangle)
Answer(s): (a) 15°; (b) 139°