JKLM is a square. TSL and KSM are straight lines. KJ = KT and ∠SKT = 15°. Find
- ∠KJT
- ∠MLT
.
(a)
∠JKM = 45° (Right angle)
∠JKT
= ∠JKM - ∠SKT
= 45° - 15°
= 30°
∠KJT
= (180° - ∠JKT) ÷ 2
= (180° - 30°) ÷ 2
= 150° ÷ 2
= 75° (Isosceles triangle)
(b)
KJ = KT = KL
TKL is an isosceles triangle.
∠KTL = ∠KLT (Isosceles triangle)
∠KLT
= (180° - ∠MKL - ∠SKT) ÷ 2
= (180° - 45° -15°) ÷ 2
= 120° ÷ 2
= 60°
∠MLT
= ∠KLM - ∠KLT
= 90° - 60°
= 30°
Answer(s): (a) 75°; (b) 30°
