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What angle corresponds to angle AFG?

What angle corresponds to angle AFG?-example-1

2 Answers

3 votes

Answer:

∠CGH

Explanation:

When two lines are crossed by another line, the angles in matching corners are called corresponding angles.

When the two lines are parallel Corresponding Angles are equal.

∠AFG and ∠CGH are corresponding angles.

The lines AB and CD are parallel, therefore m∠AFG = m∠CGH.

∠CGH and ∠DGH are supplementary angles.

Therefore m∠CGH + m∠DGH = 180°

Substitute m∠DGH = 54°:

m∠CGH + 54° = 180° subtract 54° from both sides

m∠CGH = 126°

Therefore m∠AFG = 126°.

User Mins
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6.5k points
6 votes

Look at the image below :)

In case you didn't know, corresponding angles are equal to each other and are on the same side of the traversal

Therefore the answer is angle CGH

Hope this helped!

What angle corresponds to angle AFG?-example-1
User Padam Thapa
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8.6k points