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.
The measure of an angle is fourteen times the measure of its supplementary angle. What is the measure of each angle?
7 answers
An angle measures 32° more than the measure of its complementary angle. What is the measure of each angle?
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.
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.
An angle measures 66° more than the measure of its supplementary angle. What is the measure of each angle?
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.
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.
The measure of an angle is twenty-nine times the measure of its complementary angle. What is the measure of each angle?
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.
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.