The figure is not drawn to scale. QR//TS and SR//UQ. Triangles QUR and RST are isosceles triangles. Find
- ∠h
- ∠i.
(a)
∠RST = ∠RQU = 76° (SR//UQ, RQ//ST)
∠QRU
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠SRT
= 180° - 76° - 76°
= 28° (Isosceles triangle)
∠h
= 180° - 76° - 52° - 28°
= 24° (Interior angles, RQ//ST)
(b)
∠i
= 180° - 24° - 24°
= 132° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 132°
