Questions: Two parallel sections of pipe are joined with a connecting pipe as shown. What is the value of x?

Transcript text: Two parallel sections of pipe are joined with a connecting pipe as shown. What is the value of x?

Solution

Solution Steps

Step 1: Identify the Given Information

We are given two parallel sections of pipe joined by a connecting pipe at an angle of 45 degrees. We need to find the value of the angle \( x \).

Step 2: Understand the Relationship

Since the two sections of pipe are parallel, the angles formed by the connecting pipe with the parallel sections are alternate interior angles. Alternate interior angles are equal when two lines are parallel.

Step 3: Apply the Relationship

Given that one of the angles is 45 degrees, the alternate interior angle \( x \) must also be 45 degrees because the pipes are parallel.

Final Answer

Relationship: Alternate interior angles are equal when two lines are parallel. \[ x = 45^\circ \]

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