NPQR is a parallelogram. NRS and PTS are straight lines. Find the values of
- ∠w
- ∠z
- ∠y
- ∠x
(a)
∠w
= 180° - 54° - 58°
= 68° (Interior angles)
(b)
∠TNP = ∠TPN = 54° (Isosceles triangle)
∠z
= 180° - 58° - 54° - 54°
= 14° (Interior angles)
(c)
∠y
= 180° - 54° - 54°
= 72° (Isosceles triangle)
(d)
∠x = 58° (Alternate angles)
Answer(s): (a) 68°; (b) 14°; (c) 72°; (d) 58°