In the figure, not drawn to scale, two rectangles, RSYZ and XYAB overlap each other as shown. Given that RU // XW and TW // UV.
- Find ∠g.
- Find ∠h.
(a)
∠SYA
= 90° - 76°
= 14°
∠g
= 90° - 14°
= 76°
(b)
∠STW = ∠TUV = 121° (Corresponding angles)
∠TWX
= 180° - 121°
=59° (Interior angles)
∠h
= 360° - 87° - 59°
= 214°
Answer(s): (a) 76°; (b) 214°