PSLE MNPQ and NQRS are rhombuses. PTQ is a straight line.
- Find ∠QNT.
- Find ∠PQR.
(a)
∠NQP
= (180° - 104°) ÷2
= 76° ÷ 2
= 38° (Isosceles triangle)
∠QNT
= 180° - 124° - 38°
= 18° (Angles sum of triangle)
(b)
∠NSR
= 360° - 295°
= 65° (Angles at a point)
∠NQR = ∠NSR = 65° (Rhombus)
∠PQR
= 65° - 38°
= 27°
Answer(s): (a) 18°; (b) 27°