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° - 128° - 36°
= 16° (Angles sum of triangle)
(b)
∠NSR
= 360° - 287°
= 73° (Angles at a point)
∠NQR = ∠NSR = 73° (Rhombus)
∠PQR
= 73° - 36°
= 37°
Answer(s): (a) 16°; (b) 37°