Question

11 multiple choice 5 points what is the special name for these angles combined? what is the value of the missing angle? complementary, 37 degrees supplementary, 127 degrees complementary, 127 degrees supplementary, 37 degrees

Explanation:

Step1: Recall angle - relation definitions

Complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees. The two angles shown form a right - angle (90 degrees), so they are complementary.

Step2: Calculate the missing angle

Let the missing angle be \(a\). We know that one angle is 53 degrees and the sum of the two angles is 90 degrees. Using the formula \(a + 53^{\circ}=90^{\circ}\), we can solve for \(a\) as \(a=90^{\circ}- 53^{\circ}=37^{\circ}\).

Answer:

A. Complementary, 37 degrees