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Katena32 [7]
3 years ago
10

Fill in the blank with the appropriate angle.

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

∠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)

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