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

Answer 1

Complementary angles add up to 90°. If one angle has a measure of 36°, this means that the other angle has a measure of 90° - 36° = 54°.

Let's set up an equation to represent the unknown angle measure:

x - 3 = 54°

Adding 3 to both sides of the equation gives:

x = 57°

So, the value of x is 57° and the value of the unknown angle is x - 3 = 57° - 3° = 54°.