In a figure, one complementary angle has measure of 36 degrees and the other has a measure of (x-3) degrees. What is the value of x and what is the value of the unknown angle measure?

Answer 1

Two angles are complementary if their sum is 90 degrees. Let's set up an equation using this information:

36 + (x-3) = 90

Simplifying the equation:

x - 3 + 36 = 90

x + 33 = 90

Subtracting 33 from both sides:

x = 57

Now that we have found the value of x, we can substitute it back into the equation to find the value of the unknown angle:

x-3 = 57 - 3 = 54

Therefore, x = 57 and the unknown angle measure is 54 degrees.