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 ?

Answer 1

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

∠TSV + ∠RSV + ∠RST = 360 degrees

We are given that:
∠TSR = 157 degrees
∠VSR = 54 degrees

Substitute these values into the equation:

∠TSV + 54 degrees + 157 degrees = 360 degrees
∠TSV + 211 degrees = 360 degrees

Subtract 211 degrees from both sides:

∠TSV = 149 degrees

Therefore, the measure of ∠TSV is 149 degrees.