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To solve this problem, we need to use the fact that the sum of angles in a quadrilateral is \( 360^\circ \). This shape is a trapezoid with three known angles.

### Given information:
1. There's a right angle of \( 90^\circ \) in the lower left corner.
2. One angle is labeled \( x^\circ \).
3. Another angle is labeled \( (x - 40)^\circ \).

### Steps to Solve:
1. Let’s label the angles as follows:
   - Angle 1 = \( 90^\circ \)
   - Angle 2 = \( x^\circ \)
   - Angle 3 = \( (x - 40)^\circ \)
   - Angle 4 = the unknown angle.

2. Since it is a quadrilateral, we know that:
   \[
   90 + x + (x - 40) + \text{Angle 4} = 360
   \]

3. Simplify and solve for \( x \):
   - Rearranging for Angle 4, we assume it's \( 90^\circ \)

Find the value of x. Then find the measure of each labeled angle.

Learn how to find the value of x and the measure of each labeled angle in a trapezoid. This problem involves geometry concepts like the angle sum theorem and properties of quadrilaterals. Suitable for students in Grades 6-8.

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