Question

The angles shown are supplementary. Supplementary angles = 180 degrees. What is the value of x? ( remember to set up an equation and solve x ) ( 3x + 15 ) and 60

Answer 1

To find the value of \( x \) for the supplementary angles \( (3x + 15) \) and \( 60 \), we can set up the equation:

\[
(3x + 15) + 60 = 180
\]

Now, simplify the left side:

\[
3x + 15 + 60 = 180
\]

Combine like terms:

\[
3x + 75 = 180
\]

Next, subtract 75 from both sides to isolate the term with \( x \):

\[
3x = 180 - 75
\]

\[
3x = 105
\]

Now, divide both sides by 3 to solve for \( x \):

\[
x = \frac{105}{3}
\]

\[
x = 35
\]

Thus, the value of \( x \) is \( \boxed{35} \).