In a transversal intersecting two parallel lines, if one angle measures 55°, wha

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Question: In a transversal intersecting two parallel lines, if one angle measures 55°, what is the measure of the adjacent angle?

Options:

Correct Answer: 125°

Solution:

Adjacent angles formed by a transversal are supplementary, so the adjacent angle is 180° - 55° = 125°.

In a transversal intersecting two parallel lines, if one angle measures 55°, what is the measure of the adjacent angle?

In a transversal intersecting two parallel lines, if one angle measures 55°, what is the measure of the adjacent angle?

Step 1: Understand that a transversal is a line that crosses two parallel lines.
Step 2: Identify that when a transversal intersects parallel lines, it creates pairs of angles.
Step 3: Recognize that adjacent angles (angles next to each other) formed by the transversal are supplementary.
Step 4: Know that supplementary angles add up to 180 degrees.
Step 5: If one angle measures 55 degrees, the adjacent angle can be found by subtracting 55 from 180.
Step 6: Calculate the adjacent angle: 180 degrees - 55 degrees = 125 degrees.
Step 7: Conclude that the measure of the adjacent angle is 125 degrees.

Transversal and Parallel Lines – When a transversal intersects two parallel lines, it creates pairs of angles that have specific relationships, such as corresponding angles, alternate interior angles, and adjacent angles.
Supplementary Angles – Adjacent angles formed by a transversal are supplementary, meaning their measures add up to 180°.