PSLEIn the figure, NPQR is a straight line, PRST is a parallelogram and SQ = ST. ∠TNP is a right angle, ∠NTP = 24° and ∠RSQ = 16°.
- Find ∠u.
- Find ∠v.
(a)
∠TNP = 90° (Right angle)
∠u
= 90° + 24°
= 114° (Exterior angle of a triangle)
(b)
∠RST = ∠RPT = 114° (Parallelogram)
∠QST
= 114° - 16°
= 98°
∠v
= (180° - 98°) ÷ 2
= 41° (Isosceles triangle)
Answer(s): (a) 114°; (b) 41°