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In the image, you have two angles formed by a vertical line, and one of the angles is a right angle (as indicated by the square symbol in the corner). The expressions given for the angles are \(2x - 6\) and \(7x + 4\).

### Step 1: Identify the relationship between the angles
Since one of the angles is a right angle (which measures \(90^\circ\)), the other two angles are complementary to each other because the sum of the angles that form a right angle (from a straight line) must add up to \(90^\circ\).

### Step 2: Set up the equation
Since the angles are complementary:
\[
(2x - 6) + (7x + 4) = 90
\]

This is the equation you would use to find the value of \(x\).

Would you like to proceed with solving this equation or have any further questions?

Here are some related questions:
1. What are the steps to solve the equation \( (2x - 6) + (7x + 4) = 90 \)?
2. How do you determine if angles are complementary or supplementary?
3. What is the measure of each angle after finding \( x \)?
4. Can complementary angles be adjacent, non-adjacent, or both?
5. How does knowing one angle of a right angle triangle help in finding the others?

**Tip:** Remember, when working with complementary angles, their sum should always equal \(90^\circ\).

Explore how to determine complementary angles using the angle sum property of a straight line. This problem involves identifying angles formed by a vertical line and understanding their relationship. Suitable for students in Grades 7-9.

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