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

In a figure, complementary angles add up to 90 degrees.

If one angle has a measure of 36 degrees, then we can find the measure of the other angle by subtracting the known angle measure from 90 degrees:
90° - 36° = 54°

Therefore, the unknown angle has a measure of 54 degrees.

The problem also states that the second angle has a measure of (x - 3) degrees. Since we already found the measure of the second angle to be 54 degrees, we can set up the following equation:
x - 3 = 54

To solve this equation, we add 3 to both sides:
x - 3 + 3 = 54 + 3
x = 57

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