90 = 2x -22
68 = 2x
34 = x
One angle = 34 degrees
Other angle = 34 + 22 = ?
68 = 2x
34 = x
One angle = 34 degrees
Other angle = 34 + 22 = ?
The complement of an angle is the angle that, when added to the original angle, equals 90 degrees.
So, the complement of x is (90 - x) degrees.
We are given that the difference between the angle and its complement is 22 degrees.
Therefore, we can set up the equation:
x - (90 - x) = 22
Simplifying the equation, we get:
x - 90 + x = 22
2x - 90 = 22
2x = 112
x = 56
So the measure of the angle is 56 degrees.
To find the measure of its complement, we substitute this value into (90 - x):
90 - 56 = 34
Therefore, the measures of the angles are 56 degrees and 34 degrees.
Let's assume the measure of the angle we are trying to find is x degrees.
According to the problem, the measures of the angle and its complement differ by 22 degrees. Therefore, the measure of the complement angle would be (x + 22) degrees.
Since the sum of complementary angles is 90 degrees, we can set up the following equation:
x + (x + 22) = 90
Simplifying the equation, we have:
2x + 22 = 90
Next, we will isolate the variable x by subtracting 22 from both sides of the equation:
2x + 22 - 22 = 90 - 22
This simplifies to:
2x = 68
Finally, we solve for x by dividing both sides of the equation by 2:
2x/2 = 68/2
This simplifies to:
x = 34
Therefore, the measure of the angle is 34 degrees, and the measure of its complement is (34 + 22) = 56 degrees.