∠ACG same side interior angles with ∠CGH and ∠CGE
Step-by-step explanation:
If parallel lines are drawn by a traverse certain angles (which have the same magnitude = equal) are created:
Corresponding Angles: same corners angles
Alternate Interior Angles: Alterative sides of the traverse, and the two crossed lines at the interior.
Alternate Exterior Angles: on the outer side of each of the two lines and on transversal opposite sides
Consecutive Interior Angles: To this side of the transverse with the two lines within. The Consecutive Inside Angles result in up to 180 ° when the two lines are parallel
As we can see from the figure
Alternate Interior Angles:
angles ∠ACG & ∠CGH and ∠DCG & ∠CGE
Consecutive Interior Angles:
angles ∠ACG & ∠CGE and ∠DCG & ∠CGH
Therefore ∠ACG same side interior angles with ∠CGH (Alternate Interior Angles) and ∠CGE (Consecutive Interior Angles)