The figure is not drawn to scale. NP//RQ and QP//SN. Triangles NSP and PQR are isosceles triangles. Find
- ∠s
- ∠t.
(a)
∠PQR = ∠PNS = 76° (QP//SN, PN//QR)
∠NPS
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠QPR
= 180° - 76° - 76°
= 28° (Isosceles triangle)
∠s
= 180° - 76° - 52° - 28°
= 24° (Interior angles, PN//QR)
(b)
∠t
= 180° - 25° - 24°
= 131° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 131°
