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?
x = ?
unknown angle measure = ?°
To find the value of x, we can use the fact that complementary angles add up to 90°. So, we have the equation:
36° + (x-3)° = 90°
We can solve for x by simplifying and isolating the variable:
36° + x° - 3° = 90°
x + 33° = 90°
x = 90° - 33°
x = 57°
The value of x is 57°.
To find the measure of the unknown angle, we can substitute the value of x back into the equation:
(x-3)° = (57-3)° = 54°
The measure of the unknown angle is 54°.