The figure shows a square ABEF and a rectangle BCDE. ∠CFE = 36°.
- Find ∠BHF.
- Find ∠AGC.
(a)
∠BHF
= 36° + 90°
= 126° (Exterior angle of a triangle)
(b)
∠AEF = 45°
∠EGF
= 180° - 36° - 45°
= 99° (Angles sum of triangle)
∠AGC
= ∠EGF
= 99° (Vertically opposite angles)
Answer(s): (a) 126°; (b) 99°