Question

Find the measure of a complementary angle, a supplementary angle, and a vertical angle for the following measures. Complete parts (a) and (b) below. a. m(∠A)=26 ∘ Identify the measure of a complementary angle of m(∠A)=26 ∘ . The measure of the complement is (Simplify your answer.)

Answer 1

To find the measure of a complementary angle, subtract the given angle from 90 degrees. To find the measure of a supplementary angle, subtract the given angle from 180 degrees. Vertical angles have equal measures.

Step-by-step explanation:

To find the measure of a complementary angle, we subtract the measure of the given angle from 90 degrees. For example, if the measure of angle A is 26 degrees, the measure of its complementary angle is 90 minus 26 = 64 degrees.

To find the measure of a supplementary angle, we subtract the measure of the given angle from 180 degrees. For example, if the measure of angle A is 26 degrees, the measure of its supplementary angle is 180 minus 26 = 154 degrees.

Vertical angles are formed by intersecting lines and have equal measures. So, if the measure of angle A is 26 degrees, the measure of its vertical angle is also 26 degrees.