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29 Μαρ 2024 · This calculator provides the calculation of the measure of a single interior angle of a regular polygon using the Alternate Interior Angle Theorem.
The two purple angles (at A & B) are alternate interior angles, and so they are equal. The straight angle at A is 180 and is the sum of the green, purple and red angles. But the angles in the triangle are these green, purple and red angles. So the sum of the angles in any triangles is 180.
When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.
Alternate interior angles are formed when a transversal crosses two parallel or non-parallel lines. One way to help you identify this angle pair is to look closely at the words alternate and interior. Alternate tells you that the angles lie on opposite sides of the transversal.
Learn about Alternate Interior Angles: When two lines are crossed by another line (called the Transversal), Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Learn more about this interesting concept of alternate interior angles theorem, proof, and solve a few examples.
Alternate Interior Angles: Quick Investigation. Author: Tim Brzezinski. Topic: Angles, Straight Lines. The directions for this activity can be found below the applet. Use the Slope tool to measure the slopes of the two lines g and i. Then, tamper with the gray slider.