Given:
Angle STV is a straight angle. The measure of angle WTV is 65°. The measure of angle STW is x°.
To find:
The value of x.
Solution:
Angle STV is a straight angle. So, the measure of angle STV is 180 degrees.
[tex]m\angle STV=180^\circ[/tex]
[tex]m\angle STW+m\angle WTV=180^\circ[/tex]
The measure of angle WTV is 65°. The measure of angle STW is x°.
[tex]x^\circ+65^\circ=180^\circ[/tex]
[tex]x^\circ=180^\circ-65^\circ[/tex]
[tex]x^\circ=115^\circ[/tex]
[tex]x=115[/tex]
Therefore, the value of x is 115.
