Question

The m∠5 is 152° because it’s ________________ to the given angle and ____________ corresponding.

a) corresponding
b) supplementary
c) non-adjacent supplementary
d) vertical
e) alternate interior
f) alternate exterior

Answer 1

The angle m∠5 is supplementary to the given angle and it is a corresponding angle.

Step-by-step explanation:

The angle m∠5 is supplementary to the given angle and it is a corresponding angle.

In geometry, two angles are supplementary if the sum of their measures is 180°. In this case, m∠5 is supplementary to the given angle, meaning that the measure of m∠5 plus the measure of the given angle equals 180°. Additionally, m∠5 is a corresponding angle because it is located in the same position relative to the given angle, and it is formed when a transversal intersecting two parallel lines creates congruent alternate interior angles.