Question

Question

Use the image to answer the 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

∠TSV = 180 - ∠TSR - ∠RSV

∠TSR = 157 degrees
∠RSV = 54 degrees

∠TSV = 180 - 157 - 54
∠TSV = 180 - 211
∠TSV = -31 degrees

So, the measure of ∠TSV is -31 degrees.