Question

Please help brain fam!!!

The figure below shows parallel lines cut by a transversal:
(the picture below)

Which statement is true about ∠7 and ∠8?

∠7 and ∠8 are supplementary because they are a pair of corresponding angles.
∠7 and ∠8 are complementary because they are a pair of adjacent angles on a straight line.
∠7 and ∠8 are congruent because they are a pair of adjacent angles on a straight line.
∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.

THANKS!

Answer 1

The last statement. they are supplementary angles because they make 180 degrees. and they aren't corresponding, they're adjacent, meaning side by side sharing an arm. and they form a straight line

Answer 2

Your answer is ∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.

We know that ∠7 and ∠8 are supplementary because they form a straight line, and straight lines have a total of 180 degrees. 

Since the two angles are supplementary, we can eliminate the 2nd and 3rd choices.

∠7 and ∠8 are not corresponding angles, which leaves us with option 4.

Best of luck!

~collinjun0827, Junior Moderator