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How to find the value of angle x in degrees?

May 14, 2026Mathematics

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Answer

\text{120}^\circ

4 steps

Here's how to find the value of angle $x$ :

Identify the relationship between the angles.
The angles $90^\circ$ , $150^\circ$ , and $x$ are angles around a central point.
Apply the property of angles around a point.
The sum of angles around a point is $360^\circ$ .
Set up the equation.
$90^\circ + 150^\circ + x = 360^\circ$
Solve for $x$ .
$240^\circ + x = 360^\circ$ $x = 360^\circ - 240^\circ$ $x = 120^\circ$
The value of angle $x$ is $\boxed{\text{120}^\circ}$ .

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