Question

Which statement is true about angles 3 and 5?

Two parallel lines are intersected by a third line so that
angles 1 and 5 are congruent.
O They are acute.
O They are congruent.
They are complementary.
O. They are supplementary.
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Answer 1

They are Complementary

Answer 2

They are supplementary.

Explanation:

As you can observe in the image attached, angle 1 and 5 are congruent because they are corresponding angles which are always congruent.

However, notice that inside the parallels there are several triangles, there we have alternate interior angles and same-side interior angles.

It's importatnt to know that alternate interior angles are always congruent like angles 4 and 5 or 3 and 6.

But, angles 3 and 5 are same-side interior angles, which always sum 180°, that is, they are supplementary.

`\angle 3 + \angle 5 = 180\°`

Therefore, the correct answer is the last choice.