Use the image to answer the question.

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

To find the measure of ∠s, we can use the relationship between the angles formed by rays originating from a common point.

Let's denote the angles as follows:

• Let ∠1 be the angle between the first ray and the second ray, which is given as 54 degrees.
• Let ∠2 be the angle between the second ray and the third ray, which we denote as s degrees.
• Let ∠3 be the angle between the first ray and the third ray, which is given as 80 degrees.

We know that the sum of angles around a point is 360 degrees. Therefore, we can set up the equation:

∠1 + ∠2 + ∠3 = 360 degrees.

Substituting the known values into the equation:

54 degrees + s + 80 degrees = 360 degrees.

Now, combine the known angles:

134 degrees + s = 360 degrees.

Now, isolate s:

s = 360 degrees - 134 degrees,

s = 226 degrees.

So, the measure of ∠s is:

m∠s = 226 degrees.

Answer 2

wrong