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?

Answer 1

The measure of a complementary angle is 90° minus the measure of the other angle.
So in this case, we can say that the measure of the unknown angle is 90° - 36° = 54°.

Now we can set up an equation for the measure of the other angle: (x-3)° = 54°.
To solve for x, we can add 3 to both sides of the equation: x = 54° + 3° = 57°.

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