Lines m and n are parallel. Which of the other 5 named angles have a measure of 110°?Press the hotspot for all that apply.

Mathematics · High School · Thu Feb 04 2021

Answered on

1. Corresponding angles: these are on the same side of the transversal and in corresponding positions. These angles are equal. 2. Alternate interior angles: these lie between the parallel lines but on opposite sides of the transversal. These angles are equal. 3. Alternate exterior angles: these lie outside the parallel lines but on opposite sides of the transversal. These angles are equal. 4. Consecutive interior angles (also known as same-side interior angles): these lie between the two lines on the same side of the transversal. These angles are supplementary, which means their measures add up to 180 degrees.

If one of the angles formed by the transversal with the parallel lines is given as 110 degrees, you can determine the measure of the other angles based on the above properties. If the given 110-degree angle is one of the alternate interior, alternate exterior, or corresponding angles, then every angle in the same category will also be 110 degrees with respect to another angle on the transversal line.