The measure of angle STV is 160°.

Question

The measure of angle WTV is 115°.
The measure of angle STW is x°.
Find the value of x.

Answer 1

To find the value of x, we can use the fact that the sum of the angles in a triangle is 180 degrees.

The given angle measures are STV = 160°, WTV = 115°.

The sum of the angles in triangle STW is equal to 180 degrees.

So, x + 160 + 115 = 180.

Combine like terms: x + 275 = 180.

Subtract 275 from both sides: x = 180 - 275.

Simplify: x = -95.

Therefore, the value of x is -95 degrees.