The figure is not drawn to scale. LM//PN and NM//QL. Triangles LQM and MNP are isosceles triangles. Find
- ∠s
- ∠t.
(a)
∠MNP = ∠MLQ = 76° (NM//QL, ML//NP)
∠LMQ
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠NMP
= 180° - 76° - 76°
= 28° (Isosceles triangle)
∠s
= 180° - 76° - 52° - 28°
= 24° (Interior angles, ML//NP)
(b)
∠t
= 180° - 25° - 24°
= 131° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 131°
