Question

Lines y and z are parallel.

Parallel lines are cut by transversals s and t. The angles formed by lines s, t, and y, clockwise from top left, are blank, blank, (10 x + 5) degrees, blank, (4 x minus 7) degrees, blank; formed by s and z are 65 degrees, 1, blank, blank; formed by z and t are 2, blank, blank, blank.

What is the measure of angle 2?
6 degrees
11 degrees
28 degrees
37 degrees

Answer 1

I think it is 28 degrees

Explanation:

I just took the test and I was looking for the answer and the answer was right thanks to the other person who answered it I thanked him/her.!

Answer 2

28 degrees

Explanation:

step 1

Find the measure of angle 1

`m\angle 1+65^o=180^o` ----> by supplementary angles

`m\angle 1=180^o-65^o=115^o`

step 2

Find the value of x

`(10x+5)^o=m\angle 1` ----> by corresponding angles

substitute

`(10x+5)^o=115^o`

`10x=110\\x=11`

step 3

Find the measure of angle 2

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

`m\angle 1+m\angle 2+(4x-7)^o=180^o`

substitute

`115^o+m\angle 2+(4(11)-7)^o=180^o`

`m\angle 2=180^o-152^o=28^o`