Question

Determine the measure of TSV

Angle 1: 157
Angle 2: 54

A. 23
B. 54
C. 103
D. 126

Answer 1

If it helps there is a half circle on the equation

Answer 2

To determine the measure of TSV, we need to find the sum of the two given angles.

Angle 1: 157
Angle 2: 54.

Adding the two angles:

157 + 54 = 211.

Therefore, the measure of TSV is 211 degrees.

The correct option is not provided.

Answer 3

If there is a half circle on the equation, it means that the angles given are angles that intercept the same arc of a circle.

In a circle, the measure of an angle intercepting a certain arc is equal to half of the measure of that arc.

Let the measure of the intercepted arc be x.

Angle 1: 157
Angle 2: 54

Since both angles intercept the same arc, we can set up the following equation:

157 = x/2
54 = x/2

To solve for x, we can solve one of the equations and substitute it into the other equation:

54 = x/2

Multiply both sides of the equation by 2 to isolate x:

2 * 54 = x
x = 108

Now that we know the measure of the intercepted arc is x = 108, we can find the measure of TSV by dividing the arc measure by 2:

TSV = 108/2 = 54

Therefore, the measure of TSV is 54 degrees. The correct answer is B.