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
2 answers:
Answer:
Measure of angle s is 22°
Step-by-step 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°
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Step-by-step explanation:
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