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)

Question

x= , unknown angle measure =

Answer 1

To find the value of x, we can use the fact that the two complementary angles add up to 90 degrees.

So, if one angle has a measure of 36 degrees, then the other angle has a measure of 90 - 36 = 54 degrees.

Now, we know that the measure of the other angle is (x - 3) degrees, so we can set up the equation:

(x - 3) = 54

Solving this equation, we find:

x = 54 + 3 = 57

Therefore, the value of x is 57 and the measure of the unknown angle is (57 - 3) = 54 degrees.