The figure shows a square ABEF and a rectangle BCDE. ∠CFE = 38°.
- Find ∠BHF.
- Find ∠AGC.
(a)
∠BHF
= 38° + 90°
= 128° (Exterior angle of a triangle)
(b)
∠AEF = 45°
∠EGF
= 180° - 38° - 45°
= 97° (Angles sum of triangle)
∠AGC
= ∠EGF
= 97° (Vertically opposite angles)
Answer(s): (a) 128°; (b) 97°