in a figure, one complementary angle has a measure of 36 degrees and the other has a measure of (x-3) degrees. What is the value of x and the value of the unknown angle measure?
The two complementary angles add up to 90 degrees. So, if one angle has a measure of 36 degrees, the other angle must have a measure of 90 - 36 = 54 degrees.
To find the value of x, we use the fact that the other angle has a measure of (x-3) degrees. Since this angle is also 54 degrees, we can set up the equation:
x - 3 = 54
Adding 3 to both sides, we get:
x = 57
Therefore, the value of x is 57. The measure of the unknown angle is (x-3) = 57-3 = 54 degrees.