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°.