Use the image to answer the question.

Question

An illustration shows three rays passing through three points from a common origin point at upper S. Point upper T is to the horizontal left of upper S. A ray from upper S joins upper T with an arrow near upper T. Point upper V is on the top inclined to the right of point upper S. A ray from upper S joins upper V with an arrow near upper V. Point upper R is to top right of point upper S, below point upper V. A ray from upper S joins upper R with an arrow near upper R. Angle upper T upper S upper R is labeled as 157 degrees. Angle upper V upper S upper R as 54 degrees.

What is the measure of ∠TSV
?

(1 point)

Answer 1

To find the measure of angle ∠TSV, we can use the information given about the angles around point S.

We know:

• Angle ∠TSR = 157 degrees
• Angle ∠VSR = 54 degrees

The sum of the angles around point S is always 360 degrees. Therefore, we can find the measure of angle ∠TSV using the following relationship:

∠TSV + ∠TSR + ∠VSR = 360 degrees

Plugging in the known values:

∠TSV + 157 degrees + 54 degrees = 360 degrees

Combining the angles:

∠TSV + 211 degrees = 360 degrees

Now, we solve for ∠TSV:

∠TSV = 360 degrees - 211 degrees = 149 degrees

Thus, the measure of ∠TSV is 149 degrees.