Question

Lines y and z are parallel.

Answer 1

Answer:

28 degrees

Step-by-step 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

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

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

Answer 2

Answer:

I think it is 28 degrees

Step-by-step 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.!