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)
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°.