The measure of an angle is fourteen times the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Let x be the measure of the angle.

The supplementary angle would then be 180 - x.

According to the information given, we have the equation:

x = 14(180 - x)

Solving for x:

x = 14(180 - x)
x = 2520 - 14x
15x = 2520
x = 168

Therefore, the measure of the angle is 168 degrees, and the measure of its supplementary angle is 180 - 168 = 12 degrees.

Answer 2

An angle measures 32° more than the measure of its complementary angle. What is the measure of each angle?

Answer 3

Let x be the measure of the angle.

The complementary angle would then be 90 - x.

According to the information given, we have the equation:

x = (90 - x) + 32

Solving for x:

x = 90 - x + 32
2x = 122
x = 61

Therefore, the measure of the angle is 61 degrees, and the measure of its complementary angle is 90 - 61 = 29 degrees.

Answer 4

An angle measures 66° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 5

Let x be the measure of the angle.

The supplementary angle would then be 180 - x.

According to the information given, we have the equation:

x = (180 - x) + 66

Solving for x:

x = 180 - x + 66
2x = 246
x = 123

Therefore, the measure of the angle is 123 degrees, and the measure of its supplementary angle is 180 - 123 = 57 degrees.

Answer 6

The measure of an angle is twenty-nine times the measure of its complementary angle. What is the measure of each angle?

Answer 7

Let x be the measure of the angle.

The complementary angle would be 90 - x.

According to the information given, we have the equation:

x = 29(90 - x)

Expanding:

x = 2610 - 29x
30x = 2610
x = 87

Therefore, the measure of the angle is 87 degrees, and the measure of its complementary angle is 90 - 87 = 3 degrees.