HELP?? :( In the figure, p || q. You must prove that ∠4 is supplementary to ∠7. What is the reason for the highlighted statement in the proof?

Question

anonymous · Answer

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anonymous · Answer

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anonymous · Answer

Substitution Property of Equality

For parallel lines cut by a transversal, corresponding angles are congruent.

Congruent Supplements Theorem

Vertical Angles Theorem

anonymous · Answer

What is the highlighted part of the question?

anonymous · Answer

Oh, nevermind, I'm assuming it's the red box?

anonymous · Answer

Yes it is.

anonymous · Answer

If that's the case....Supplementary angles must form 180°. So, to prove that angles 4 and 7 are supplementary you'd need to show that in an equation form. angle4 + angle7=180. Then solve.

anonymous · Answer

Same side interior angles -- When two parallel lines are crossed by a third line, eight angles are formed. The angles that are in between the two parallel lines, and on the same side of the third line, are called same side interior angles and they are supplementary. In the picture below, angles 1 and 2 are an example of same side interior angles. 



The proof would be Same Side Interior Angles Theorem