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 fact that the sum of angles around point S (the common origin point) equals 360 degrees.

We have the following information:

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

We can find ∠TSV by calculating the remaining angle in the triangle formed by points T, S, and V. The angles around point S add up as follows:

∠TSR + ∠VSR + ∠TSV = 360 degrees

Substituting the values we know:

157 degrees + 54 degrees + ∠TSV = 360 degrees

Combining the known angles:

211 degrees + ∠TSV = 360 degrees

Now, isolate ∠TSV:

∠TSV = 360 degrees - 211 degrees ∠TSV = 149 degrees

Therefore, the measure of angle ∠TSV is 149 degrees.