https://file.aiquickdraw.com/mathbot/file/1726517206389i8avma82.jpg

The image shows a quadrilateral with four angles labeled in terms of \( x \):

- Top-left angle: \( (9x - 8)^\circ \)
- Top-right angle: \( (x + 10)^\circ \)
- Bottom-right angle: \( (x + 2)^\circ \)
- Bottom-left angle: (unlabeled, but implied to complete the set of four angles in the quadrilateral).

Since the sum of the interior angles of any quadrilateral is \( 360^\circ \), we can set up the equation for the sum of the four angles and solve for \( x \).

### Step 1: Set up the equation
Let’s add all the given angles:

\[
(9x - 8) + (x + 10) + (x + 2) + \theta = 360^\circ
\]

Where \( \theta \) is the missing angle (which we can find by solving for \( x \)).

Would you like to proceed with solving this equation?

Find the value of x given the angles of a quadrilateral: (9x - 8)°, (x + 10)°, (x + 2)°, and one unknown angle.

Learn how to solve for x in a quadrilateral with the angles (9x - 8)°, (x + 10)°, (x + 2)°, and one unknown angle. This step-by-step solution covers geometric concepts and angle properties, suitable for students in Grades 8-10.

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