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 angle measure?(1 point)

Answer 1

Since the angles are complementary, their measures add up to 90°.

Let's set up an equation to represent this:

36° + (x - 3)° = 90°

Now, let's solve for x:

36° + x - 3° = 90°
x + 33° = 90°
x = 90° - 33°
x = 57°

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

(x - 3)° = (57° - 3°)°
(x - 3)° = 54°

Therefore, the value of x is 57° and the measure of the unknown angle is 54°.