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.
The measure of an angle is nineteen times the measure of its supplementary angle. What is the measure of each angle?
3 answers
An angle measures 4° less than 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.
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.
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.