Answered

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Angle STV is a straight angle. The measure of angle WTV is 65°. The measure of angle STW is x°. What is the value of x?

Sagot :

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.

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