A. ∠CBE
D. ∠ABG
F. ∠DEB
G. ∠FEH
1) Examining those parallel lines cut by a transversal one, we have all these angles, so we can state:
Given m∠DEH = 97º
Then m∠FEH = 180º -97º Since ∠FEH and ∠DEF are supplementary
m∠FEH= 83º
The corresponding angle to ∠FEH and therefore congruent is angle:
∠GBA= 83º
The vertical angle to FEH is also congruent
∠DEB = 83º
And the vertical angle to ∠GBA is also congruent to
∠CBE=83
2) So visually we have these angles congruent to 83º
Alternate interior angles (∠FEH and ∠GBA), Vertical Angles (∠FEH and ∠DBE, ∠GBA and ∠CBE) , and Corresponding angles (∠FEH and ∠CBE), are always congruent to each other.
So the answers are:
A. ∠CBE
D. ∠ABG ( or GBA)
F. ∠DEB
G. ∠FEH
