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

Two angles are complementary if their measures add up to 90°. Let's set up an equation to solve for x.

The first angle has a measure of 36°, so the measure of the second angle is 90° - 36° = 54°.

According to the given information, the measure of the second angle is (x - 3)°.

Therefore, we have the equation:
x - 3 = 54

Now, we can solve for x:
x = 54 + 3
x = 57

The value of x is 57.

Substituting x = 57 into the equation for the second angle:
x - 3 = 57 - 3
x - 3 = 54

The value of the unknown angle measure is 54°.