The figure is not drawn to scale. MN//QP and PN//RM. Triangles MRN and NPQ are isosceles triangles. Find
- ∠h
- ∠i.
(a)
∠NPQ = ∠NMR = 70° (PN//RM, NM//PQ)
∠MNR
= (180° - 70°) ÷ 2
= 110° ÷ 2
= 55° (Isosceles triangle)
∠PNQ
= 180° - 70° - 70°
= 40° (Isosceles triangle)
∠h
= 180° - 70° - 55° - 40°
= 15° (Interior angles, NM//PQ)
(b)
∠i
= 180° - 26° - 15°
= 139° (Angles sum of triangle)
Answer(s): (a) 15°; (b) 139°
