In each figure below find m ∠1 and m∠2, if a||b. Justify with
reasons your solution.

m<1 = 130°

m<2 = 50°

Step-by-step explanation:

Since given that line a is parallel to line b, and <1 and 130° are interior angles that alternate each other, therefore:

m<1 = 130° (alternate interior angle theorem)

Also,

130° and <2 lie on same side inside the parallel lines cut across by the transversal, therefore,

m<2 + 130° = 180° (same side interior angles theorem)

m<2 = 180° - 130°

m<2 = 50°

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!