find the measure of an anGle if five times the measure of its complement is 24 derees less than twice the measure of its supplement.
What is the equation?
What is the measure?
One-half of the measure of an angle plus the angles supplement is equal to the measure of the angle to the measure of the angle.Find the measure of the angle.
what is the measure of ec
To find the measure of an angle, let's assume the angle is represented by "x".
According to the given information, we know that the complement of the angle measures (90 - x) degrees and the supplement of the angle measures (180 - x) degrees.
The problem states that "five times the measure of its complement is 24 degrees less than twice the measure of its supplement." Mathematically, we can express this statement as:
5(90 - x) = 2(180 - x) - 24.
Now, we can simplify the equation and solve for the angle "x".
Expanding the equation:
450 - 5x = 360 - 2x - 24.
Combining like terms:
-5x + 5x = -2x + 5x.
450 = 336 - 2x.
Simplifying further:
-2x = 450 - 336.
-2x = 114.
Finally, dividing both sides by -2:
x = -57.
Therefore, the measure of the angle is -57 degrees. Please note that angles are typically measured in positive values, so it is important to double-check the question or consider if there was an error in the problem statement.