Question

Which statements would prove the lines are parallel?

Answer 1

The  statements that would prove the lines are parallel are;

∠GHI ≅ ∠KJH

∠MJH + ∠NHJ = 180°

∠KJH + ∠IHJ = 180°

How to Identify Congruent Angles?

In congruency of angles formed in this type of scenario, we will make use of the following rules;

• If two parallel lines are cut by a transversal, then, Alternate Interior Angles are congruent.

• If two parallel lines are cut by a transversal, then, Alternate Exterior Angles are congruent.

• If two parallel lines are cut by a transversal, then corresponding angles are congruent.

Using the above congruency rules and applying them to our question, we can say that for lines HN and KM to be parallel to each other, then;

∠GHI ≅ ∠KJH because they are corresponding angles

∠MJH + ∠NHJ = 180° because they are supplementary angles

∠KJH + ∠IHJ = 180° because they are supplementary angles

Read more about Congruent Angles at; brainly.com/question/24607467

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