Alternate Interior Angles Theorem
This problem involves understanding the properties of angles formed when a transversal intersects two parallel lines.
We are given that one of the alternate interior angles measures $115^\circ$.
The core geometric principle is the Alternate Interior Angles Theorem, which states: When a transversal intersects two parallel lines, the resulting alternate interior angles are congruent (equal in measure).
Angle Calculation
The question asks for the measure of the angle that lies "opposite to it on the alternate interior side". This phrasing refers to the other angle within the same pair of alternate interior angles.
- Given angle measure = $115^\circ$.
- According to the Alternate Interior Angles Theorem, the other angle in the alternate interior pair is equal to this given angle.
- Therefore, the measure of the angle opposite to it on the alternate interior side is also $115^\circ$.
Result
The measure of the specified angle is $115^\circ$.
Similar Questions
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