In a figure, one complementary angle has a measure of 36 degree and the other has a measure of (x -3) degree. What is the value of x and the value of the unknown angle measure?
x = ___, unknown angle measure = ____ degree
To find the value of x, we can use the fact that complementary angles add up to 90 degrees.
We know that one angle has a measure of 36 degrees. Let the other angle have a measure of (x-3) degrees.
The sum of the two angles is 36 + (x-3) = 90. Now we can solve for x.
36 + (x-3) = 90
x - 3 = 90 - 36
x - 3 = 54
x = 54 + 3
x = 57
Therefore, the value of x is 57.
To find the measure of the unknown angle, we substitute the value of x back into the expression (x-3).
Unknown angle measure = (x-3) = (57-3) = 54 degrees.
Therefore, the unknown angle measure is 54 degrees.