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?

1 answer

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.
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