Question

Angle TS and VSR are adjacent if angle TSR is 157° and angle VIS is 54°. What is the measure of angle TSV?

Answer 1

To find the measure of angle TSV, we can use the fact that the sum of the angles in a straight line is 180°.

Since angles TS and VSR are adjacent, we know that angle TSR + angle VSR = 180°.

Given that angle TSR is 157°, we can substitute this into the equation:

157° + angle VSR = 180°

Subtracting 157° from both sides gives us:

angle VSR = 180° - 157°
angle VSR = 23°

Now, we know that angle VSR is 23° and angle VIS is 54°. Since angles VSR and VIS are adjacent, we can find angle TSV by subtracting these two angles from 180°:

angle TSV = 180° - 23° - 54°
angle TSV = 180° - 77°
angle TSV = 103°

Therefore, the measure of angle TSV is 103°.