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Answer :
Anlges on the same side of the transversal add up to 180 degrees.
What is Transversal?
A transversal is a line in geometry that connects two lines in the same plane at two separate places. Transversals help determine if two or more lines in the Euclidean plane are parallel.
Solution:
Using the property of Lineaar Pair Angle the Interior Angles on the same side of the Transversal add up to 180 degrees.
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Final answer:
The interior angles on the same side of a transversal cutting two parallel lines are supplementary, meaning they add up to 180 degrees. These are known as consecutive interior angles or same-side interior angles in geometry.
Explanation:
When parallel lines are cut by a transversal, the interior angles on the same side of the transversal are known as consecutive interior angles or same-side interior angles. According to the Consecutive Interior Angles Theorem, these angles are supplementary, which means they add up to 180 degrees. If the interior angles are on the same side of the transversal and are within the two lines, they will sum up to 180 degrees. If one angle is less than 90 degrees, the other must compensate to ensure their sum is 180 degrees.
You can visualize this by imagining two parallel lines being like train tracks, and the transversal as a crossing path. The angles that are formed where the path crosses the same side of both tracks will together form a straight line. This is why they always add up to 180 degrees.
So, to complete the statement: if parallel lines are cut by a transversal then their interior angles on the same side of the transversal are supplementary.
