Let x be the measure of the first angle and y be the measure of the complementary angle.
We know that x + y = 90 degrees (since they are complementary angles) and x = 14y.
Substitute the second equation into the first equation:
14y + y = 90
15y = 90
y = 6
Therefore, the complementary angle is 6 degrees and the first angle is 14*6 = 84 degrees.
The measure of an angle is fourteen times the measure of its complementary angle. What is the measure of each angle?
9 answers
The measure of an angle is three times the measure of its supplementary angle. What is the measure of each angle?
Let x be the measure of the first angle and y be the measure of the supplementary angle.
We know that x + y = 180 degrees (since they are supplementary angles) and x = 3y.
Substitute the second equation into the first equation:
3y + y = 180
4y = 180
y = 45
Therefore, the supplementary angle is 45 degrees and the first angle is 3*45 = 135 degrees.
We know that x + y = 180 degrees (since they are supplementary angles) and x = 3y.
Substitute the second equation into the first equation:
3y + y = 180
4y = 180
y = 45
Therefore, the supplementary angle is 45 degrees and the first angle is 3*45 = 135 degrees.
The measure of an angle is forty-four times the measure of its complementary angle. What is the measure of each angle?
Let x be the measure of the first angle and y be the measure of the complementary angle.
We know that x + y = 90 degrees (since they are complementary angles) and x = 44y.
Substitute the second equation into the first equation:
44y + y = 90
45y = 90
y = 2
Therefore, the complementary angle is 2 degrees and the first angle is 44*2 = 88 degrees.
We know that x + y = 90 degrees (since they are complementary angles) and x = 44y.
Substitute the second equation into the first equation:
44y + y = 90
45y = 90
y = 2
Therefore, the complementary angle is 2 degrees and the first angle is 44*2 = 88 degrees.
The measure of an angle is twenty-nine times the measure of its supplementary angle. What is the measure of each angle?
Let x be the measure of the first angle and y be the measure of the supplementary angle.
We know that x + y = 180 degrees (since they are supplementary angles) and x = 29y.
Substitute the second equation into the first equation:
29y + y = 180
30y = 180
y = 6
Therefore, the supplementary angle is 6 degrees and the first angle is 29*6 = 174 degrees.
We know that x + y = 180 degrees (since they are supplementary angles) and x = 29y.
Substitute the second equation into the first equation:
29y + y = 180
30y = 180
y = 6
Therefore, the supplementary angle is 6 degrees and the first angle is 29*6 = 174 degrees.
The measure of an angle is five times the measure of its complementary angle. What is the measure of each angle?
Let x be the measure of the angle and y be the measure of its complementary angle.
We know that x = 5y (the measure of the angle is five times the measure of its complementary angle) and they are complementary angles, so x + y = 90 degrees.
Substitute the first equation into the second equation:
5y + y = 90
6y = 90
y = 15
Therefore, the complementary angle is 15 degrees and the angle is 5*15 = 75 degrees.
We know that x = 5y (the measure of the angle is five times the measure of its complementary angle) and they are complementary angles, so x + y = 90 degrees.
Substitute the first equation into the second equation:
5y + y = 90
6y = 90
y = 15
Therefore, the complementary angle is 15 degrees and the angle is 5*15 = 75 degrees.