PSLEIn the figure, LMNP is a straight line, MPQR is a parallelogram and QN = QR. ∠RLM is a right angle, ∠LRM = 25° and ∠PQN = 17°.
- Find ∠s.
- Find ∠t.
(a)
∠RLM = 90° (Right angle)
∠s
= 90° + 25°
= 115° (Exterior angle of a triangle)
(b)
∠PQR = ∠PMR = 115° (Parallelogram)
∠NQR
= 115° - 17°
= 98°
∠t
= (180° - 98°) ÷ 2
= 41° (Isosceles triangle)
Answer(s): (a) 115°; (b) 41°