PSLE MNPQ and NQRS are rhombuses. PTQ is a straight line.
- Find ∠QNT.
- Find ∠PQR.
(a)
∠NQP
= (180° - 108°) ÷2
= 72° ÷ 2
= 36° (Isosceles triangle)
∠QNT
= 180° - 124° - 36°
= 20° (Angles sum of triangle)
(b)
∠NSR
= 360° - 282°
= 78° (Angles at a point)
∠NQR = ∠NSR = 78° (Rhombus)
∠PQR
= 78° - 36°
= 42°
Answer(s): (a) 20°; (b) 42°