Question

name:

1. which of the following is a true statement about supplementary angles?

a. the sum of their measures is 90°
b. the sum of their measures is 180°
c. the sum of their measures is 360°
d. they have congruent measurements

Explanation:

To determine the true statement about supplementary angles, we recall the definition: supplementary angles are two angles whose measures add up to \(180^\circ\). Option A describes complementary angles (sum to \(90^\circ\)), Option C is for a full - rotation (sum of angles around a point, not supplementary), and Option D is not a defining property of supplementary angles (they don't have to be congruent, e.g., \(100^\circ\) and \(80^\circ\) are supplementary but not congruent). So the correct option is B.

Answer:

B. The sum of their measures is \(180^\circ\)