JKLM is a square. GFL and KFM are straight lines. KJ = KG and ∠FKG = 11°. Find
- ∠KJG
- ∠MLG
.
(a)
∠JKM = 45° (Right angle)
∠JKG
= ∠JKM - ∠FKG
= 45° - 11°
= 34°
∠KJG
= (180° - ∠JKG) ÷ 2
= (180° - 34°) ÷ 2
= 146° ÷ 2
= 73° (Isosceles triangle)
(b)
KJ = KG = KL
GKL is an isosceles triangle.
∠KGL = ∠KLG (Isosceles triangle)
∠KLG
= (180° - ∠MKL - ∠FKG) ÷ 2
= (180° - 45° -11°) ÷ 2
= 124° ÷ 2
= 62°
∠MLG
= ∠KLM - ∠KLG
= 90° - 62°
= 28°
Answer(s): (a) 73°; (b) 28°
