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=
°

Answer 1

wrong

Answer 2

To find the measure of ∠s, we can use the fact that the sum of the angles around a point is 360 degrees.

We know that ∠s is the difference between the angle between the first and third rays (80 degrees) and the angle between the first and second rays (54 degrees).

So ∠s = (80 degrees) - (54 degrees) = 26 degrees.

Therefore, the measure of ∠s is 26 degrees.

Answer 3

I apologize for the mistake. Let's approach the problem again.

To find the measure of ∠s, we can use the fact that the sum of the angles in any triangle is 180 degrees.

We are given that the angle between the first and second rays is 54 degrees, and the angle between the first and third rays is 80 degrees.

Since the first ray and the second ray form an angle of 54 degrees and the first ray and the third ray form an angle of 80 degrees, the second ray and the third ray must form an angle that is the difference between these two angles.

So, ∠s = (80 degrees) - (54 degrees) = 26 degrees.

Therefore, the measure of ∠s is 26 degrees.