Question

angles f and h are supplementary angles
angle f is 77 degrees and angle h is 5x+18 degrees
set up the equation

Answer 1

Since angles \( f \) and \( h \) are supplementary, their measures add up to \( 180^\circ \). Given that angle \( f \) measures \( 77^\circ \) and angle \( h \) measures \( 5x + 18^\circ \), you can set up the following equation:

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

Simplifying this, you would have:

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

So the equation to solve for \( x \) is:

\[
5x + 95 = 180
\]