In a figure, one complementary angle has a measure of 36°

Question

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 answer is not 39

Answer 1

Complementary angles are two angles whose measures add up to 90 degrees.

You have one angle measuring 36° and the other measuring \((x - 3)°\). We can set up the equation:

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

Now, simplify and solve for \(x\):

\[ 36 + x - 3 = 90 \] \[ x + 33 = 90 \] \[ x = 90 - 33 \] \[ x = 57 \]

Now that we have the value of \(x\), we can find the measure of the unknown angle:

\[ (x - 3) = 57 - 3 = 54° \]

So, the final answers are:

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