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To determine the measure of angle \( A \) so that the braces of the bridge remain parallel, we can follow these steps:

### Step-by-Step Solution
1. **Identify the Properties of Parallel Lines and Triangles**:
   Since the top and bottom structures of the bridge are parallel, the interior angles of each triangular section must add up to 180°, ensuring that angle \( A \) aligns with the parallel lines property.

2. **Set Up the Equation for Angles**:
   The three angles in the triangular section (where angle \( A \) is located) are given as follows:
   - One angle is labeled \( 7x - 5 \),
   - Another angle is labeled \( 2x + 45 \),
   - The third angle is angle \( A \).

   Since these are the angles of a triangle, their sum must equal 180°:
   \[
   (7x - 5) + (2x + 45) + A = 180
   \]

3. **Simplify and Solve for \( x \)**:
   Combine the terms involving \( x \):
   \[
   9x + 40 + A = 180
   \]
   Rearranging, we find:
   \[
   9x + A = 140
   \]

4. **Substitute and Check Options**:
   We need the value of angle \( A \) for the braces to remain parallel. This would depend on solving for \( x \) and substituting back.

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The top and bottom of a bridge structure are built parallel to one another. What is the measure of angle A so that the braces of the bridge are also parallel?

Learn how to find the measure of angle A to ensure the braces in a parallel bridge structure remain aligned. This geometry problem covers concepts like angle sums in triangles and properties of parallel lines, suitable for students in Grades 8-10.

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