Question

Angle F and H are supplementary angles

The measure of angle F is 77

The measure of angle H is (5x + 18)

which equation can be used to find the value of X

Answer 1

Supplementary angles are two angles whose measures add up to \(180^\circ\).

Given:
- The measure of angle F is \(77^\circ\).
- The measure of angle H is \(5x + 18\).

To set up the equation, we can use the fact that the sum of angles F and H is \(180^\circ\):

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

Now, to simplify, you can combine like terms:

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

This simplifies to:

\[
95 + 5x = 180
\]

Thus, the equation that can be used to find the value of \(x\) is:

\[
5x + 95 = 180
\]