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) x= , unknown angle measure = °
The definition of complementary angles is that they add up to 90 degrees.
Here, we have one angle with a measure of 36 degrees, and the other angle is given as (x-3) degrees.
We can set up the equation:
36 + (x-3) = 90
Simplifying the equation, we get:
x + 33 = 90
Subtracting 33 from both sides of the equation, we get:
x = 57
Therefore, x is 57 and the unknown angle measure is (x-3) = 57-3 = 54 degrees.