Question

Lines g, h, and l are parallel and m< 2 = 129°.

What is m 12?



A.
51°

B.
61°

C.
129°

D.
151°

Answer 1

<12 would be A (51 degrees) because 2 and 10 are corresponding angles and there are 180 degrees on a straight line!
Hope this helps :)

Answer 2

option:A is correct.

Explanation:

Since g,h and l are parallel lines and a line intersect these 3 lines making angles 1,2,....12.

By looking at the figure we could say that

∠2=∠6 since they are pair of corresponding angles.

Hence ∠6=129°

similarly ∠6=∠10 as they are also pair of corresponding angles.

Hence ∠10=129°

Now we know that ∠10+∠12=180° .

(since both the angles lie on a straight line)

129°+∠12=180°

∠12=180°-129°

∠12=51°

Hence option A is correct.(i.e. measure of ∠12 is 51°)