Question

Two angles are supplementary if their sum is 180 degrees. The larger angle is 4 degrees more than seven times the measure of the smaller angle. Let I represent the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. Smaller angle measures degrees. Larger angle measures degrees. Aortion Hols. Viden Vecgage instructor

Answer 1

Answer:

The smaller angle measures 22 degrees

The larger angle measures 158 degrees

Explanations:

Let the smaller angle be represented by a

Let the larger angle be represented by b

The sum of the two angles equals 180 degrees (Supplementary angles)

a + b = 180...................................(1)

The larger angle is 4 degrees more than seven times the smaller angle:

b = 7a + 4...................................(2)

Substitute equation (2) into equation (1)

a + (7a + 4) = 180

8a + 4 = 180

8a = 180 - 4

8a = 176

a = 176/8

a = 22

Substitute a = 22 into equation (2)

b = 7(22) + 4

b = 154 + 4

b = 158

The smaller angle measures 22 degrees

The larger angle measures 158 degrees