Question

angles f and h are supplementary angles
angle f is 77 degrees and angle h is 5x+18 degrees

find the value of x

Answer 1

Since angles \( f \) and \( h \) are supplementary, their measures add up to \( 180^\circ \).

Given:
- \( f = 77^\circ \)
- \( h = 5x + 18^\circ \)

We can set up the equation:

\[
f + h = 180^\circ
\]

Substituting the values of \( f \) and \( h \):

\[
77 + (5x + 18) = 180
\]

Now, simplify the equation:

\[
77 + 5x + 18 = 180
\]

Combine like terms:

\[
95 + 5x = 180
\]

Next, isolate \( 5x \) by subtracting 95 from both sides:

\[
5x = 180 - 95
\]

\[
5x = 85
\]

Now, divide both sides by 5 to find \( x \):

\[
x = \frac{85}{5}
\]

\[
x = 17
\]

Thus, the value of \( x \) is \( 17 \).