Question

Question
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 =
°

Answer 1

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

In your case, one angle measures 36°, and the other angle measures \((x - 3)°\).

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

\[
x - 3 = 57 - 3 = 54°
\]

Thus, the values are:
- \(x = 57\)
- unknown angle measure = 54°

So, the final answers are:
\(x = 57\), unknown angle measure = 54°.