PSLE MNPQ and NQRS are rhombuses. PTQ is a straight line.
- Find ∠QNT.
- Find ∠PQR.
(a)
∠NQP
= (180° - 102°) ÷2
= 78° ÷ 2
= 39° (Isosceles triangle)
∠QNT
= 180° - 130° - 39°
= 11° (Angles sum of triangle)
(b)
∠NSR
= 360° - 275°
= 85° (Angles at a point)
∠NQR = ∠NSR = 85° (Rhombus)
∠PQR
= 85° - 39°
= 46°
Answer(s): (a) 11°; (b) 46°