Question

If r || s and m∠5 = 65°, what is m∠1?

https://static.k12.com/calms_media/media/243000_243500/243455/1/9e540ab929b83189a6d3907c90afd52c1fdcf2f0/VHS_PA_S1_07_L211_L311_UT_Q4.gif
A.
180°

B.
115°

C.
25°

D.
65°

Answer 1

@Mehek14

Answer 2

@notshh

Answer 3

this has to do with the opposite angle theorem
knowing that, what makes you think it's c?

Answer 4

nevermind i think its A

Answer 5

180 degrees would be a straight line

Answer 6

okay hold on let me re check sowwy i really suck a math

Answer 7

haha it's fine (:

Answer 8

im gonna go with D

Answer 9

correct, but what's your reasoning behind it?

Answer 10

cause the rest are to big to be it or like a straight line so i figured D and thank you very much

Answer 11

I guess that works in this situation, but sometimes the answer choices will be much closer to one another. [what if the answer options were 55, 60, 65, and 70?]

if the lines are parallel to each other (like they are in this problem) the opposite angle theorem tells you that vertically opposite angles are congruent.

for example, in the picture
angles 6, 5, 3, and 1 are equal
likewise,
angles 7, 8, 2, and 4 are equal