The figure shows a square ABEF and a rectangle BCDE. ∠CFE = 44°.
- Find ∠BHF.
- Find ∠AGC.
(a)
∠BHF
= 44° + 90°
= 134° (Exterior angle of a triangle)
(b)
∠AEF = 45°
∠EGF
= 180° - 44° - 45°
= 91° (Angles sum of triangle)
∠AGC
= ∠EGF
= 91° (Vertically opposite angles)
Answer(s): (a) 134°; (b) 91°