Question

Lines a and b are parallel. What is the measure of angle s? Enter your answer in the box. s = ∘∘ Horizontal parallel lines a and b intersect with another line making eight angles, the top right angle of line a is labeled one hundred fifty eight degrees, and the top left angle of line b is labeled X degrees

Answer 1

Measure of angle s is 22°

Explanation:

Given that lines a and b are parallel. Horizontal parallel lines a and b intersect with another line making 8 angles, the top right angle of line a is labeled 158° and the top left angle of line b is labeled s degrees

we have to find the measure of angle s.

As ∠1 and 158° and on straight line hence are supplementary

i.e ∠1+158°=180°

⇒ ∠1=180°-158°=22°

Also, angle s and ∠1 are alternate interior angles.

As a and b are parallel then alternate interior angles are equal.

Hence, ∠s=∠1=22°

Measure of angle s is 22°

Answer 2

s = 22 degrees

Assuming I'm interpreting your description accurately, the top right angle of line b will also be 158 degrees because it's a corresponding angle to the top right angle of line a. That means that the top left angle of line b will be a supplementary angle. And supplementary angles add up to 180. So 180 - 158 = 22.