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)
°
To find the measure of ∠TSV, we add up the angles at point S. We have:
∠TSV + ∠TSR + ∠VSR = 180 degrees
We are given that ∠TSR is 157 degrees and ∠VSR is 54 degrees. Plugging in these values, we have:
∠TSV + 157 degrees + 54 degrees = 180 degrees
Combining like terms, we get:
∠TSV + 211 degrees = 180 degrees
Subtracting 211 degrees from both sides gives:
∠TSV = -31 degrees
Therefore, the measure of ∠TSV is -31 degrees.
u sure
Apologies for the mistake in my previous response. Let's reevaluate the problem.
To find the measure of ∠TSV, we need to subtract the given angles from 180 degrees because the sum of the angles around a point is always 180 degrees.
∠TSV = 180 degrees - (∠TSR + ∠VSR)
∠TSV = 180 degrees - (157 degrees + 54 degrees)
∠TSV = 180 degrees - 211 degrees
∠TSV = -31 degrees
My previous response had an error in calculating the measure of ∠TSV. However, -31 degrees does not make sense for an angle in this context as angles are typically measured from 0 to 180 degrees. So, without further information or clarification, we cannot determine the exact measure of ∠TSV.