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 ?
To determine the measure of ∠s, we can use the fact that the sum of the angles around a point is 360 degrees.
From the illustration, we know that ∠s is the angle between the second and third rays. Since the angle between the first and second rays is 54 degrees, the angle between the second and third rays will be 360 degrees minus the sum of the angles between the first and second rays (54 degrees) and the first and third rays (80 degrees):
∠s = 360 - 54 - 80
∠s = 226 degrees
Wrong
I apologize for the incorrect answer. Let's reevaluate the information given.
From the illustration, we know that the angle between the first and second rays is 54 degrees, which means the angle between the second and first rays (measured in the opposite direction) is also 54 degrees.
We also know that the angle between the first and third rays is 80 degrees.
Since the sum of the angles around a point is 360 degrees, we can calculate the angle between the second and third rays as follows:
∠s = 360 - (∠(second-first) + ∠(first-third))
∠s = 360 - (54 + 80)
∠s = 360 - 134
∠s = 226 degrees
Therefore, the measure of ∠s is 226 degrees.