Two parallel lines are cut by a transversal as shown below.

∠ 1 = ∠ 3 = 99°

Step-by-step explanation:

∠ 3 and ∠ 8 are same- side interior angles and are supplementary, thus

∠ 3 + ∠ 8 = 180, that is

∠ 3 + 81 = 180 ( subtract 81 from both sides )

∠ 3 = 99°

∠ 1 and ∠ 3 are vertical angles and congruent, thus

∠ 1 = ∠ 3 = 99°

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!