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

Answer 1

Let x be the measure of the angle and y be the measure of its supplementary angle.

From the given information, we have the following equation:
x = 19y

Since supplementary angles add up to 180 degrees, we also have:
x + y = 180

Substitute the first equation into the second equation:
19y + y = 180
20y = 180
y = 9

Now, substitute y back into the first equation to find x:
x = 19(9)
x = 171

Therefore, the measure of the angle is 171 degrees and the measure of its supplementary angle is 9 degrees.

Answer 2

An angle measures 4° less than the measure of its complementary angle. What is the measure of each angle?

Answer 3

Let x be the measure of the angle and y be the measure of its complementary angle.

From the given information, we have the following equation:
x = y - 4

Since complementary angles add up to 90 degrees, we also have:
x + y = 90

Substitute the first equation into the second equation:
y - 4 + y = 90
2y - 4 = 90
2y = 94
y = 47

Now, substitute y back into the first equation to find x:
x = 47 - 4
x = 43

Therefore, the measure of the angle is 43 degrees and the measure of its complementary angle is 47 degrees.