PSLE MNPQ and NQRS are rhombuses. PTQ is a straight line.
- Find ∠QNT.
- Find ∠PQR.
(a)
∠NQP
= (180° - 106°) ÷2
= 74° ÷ 2
= 37° (Isosceles triangle)
∠QNT
= 180° - 123° - 37°
= 20° (Angles sum of triangle)
(b)
∠NSR
= 360° - 283°
= 77° (Angles at a point)
∠NQR = ∠NSR = 77° (Rhombus)
∠PQR
= 77° - 37°
= 40°
Answer(s): (a) 20°; (b) 40°