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

Complementary angles add up to 90 degrees. Given one angle measures 36° and the other angle is (x - 3)°, we can set up the following equation:

\[ 36 + (x - 3) = 90 \]

Now, simplify the equation:

\[ 36 + x - 3 = 90 \] \[ x + 33 = 90 \]

Next, isolate x by subtracting 33 from both sides:

\[ x = 90 - 33 \] \[ x = 57 \]

Now, we can find the measure of the unknown angle:

\[ (x - 3) = 57 - 3 = 54° \]

Therefore, the values are:

\[ x = 57, \quad \text{unknown angle measure} = 54° \]