Question

consider the diagram of complementray angle.

one angle is 5x the other angle is 31

what equation must be used to determine the value of x

x=
the measure of angle 5x =

Answer 1

Complementary angles are two angles whose measures add up to 90 degrees. In this case, you have one angle measuring \(5x\) and the other measuring \(31\) degrees.

To determine the value of \(x\), you can set up the following equation based on the definition of complementary angles:

\[
5x + 31 = 90
\]

Now, solve for \(x\):

1. Subtract \(31\) from both sides:

\[
5x = 90 - 31
\]

\[
5x = 59
\]

2. Divide both sides by \(5\):

\[
x = \frac{59}{5} = 11.8
\]

Now, to find the measure of angle \(5x\):

\[
5x = 5 \cdot 11.8 = 59
\]

So, the values are:

\(x = 11.8\)

The measure of angle \(5x = 59\) degrees.