Use the image to answer the question.
An illustration shows three rays from a common origin point. The first ray is inclined to the top left of the common origin with an arrow at the end. The second ray is also inclined to the bottom left from the common origin with an arrow at the end. The second ray is below the first ray. The third ray is to the bottom left of the common origin with an arrow at the end. The third ray is below the second ray. The angle between the first and the third rays is labeled as 80 degrees. The angle between second and third rays is labeled as s degrees. The angle between first and second rays is labeled as 54 degrees.
What is the measure of ∠s ?
(1 point)
m∠s=
°
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To find the measure of ∠s, we need to use the information given in the image. We are told that the angle between the first and third rays is 80 degrees, and the angle between the first and second rays is 54 degrees.
Since the second and third rays form a straight line, the sum of the angles between the first ray and the second ray (54 degrees) and the angle between the second ray and the third ray (s degrees) must equal 180 degrees.
We can set up the equation: 54 + s = 180
To solve for s, we subtract 54 from both sides of the equation:
s = 180 - 54
Calculating the difference, we find that:
s = 126 degrees
Therefore, the measure of ∠s is 126 degrees.