Angle F and angle H are supplementary angles.

Question

* The measure of angle F is 77 degrees
* The measure of angle h is (5x + 18) degrees
Which equation can be used to find the value of x?
A. 77 = 5x + 18
B. 77 + (5x + 18) = 180
C. 77 + (5x + 18) = 90
D. 77 + (5x + 18) = 360

Answer 1

To find the value of \( x \), we start by using the fact that angle F and angle H are supplementary, which means their measures add up to 180 degrees.

Given:

• The measure of angle F is 77 degrees.
• The measure of angle H is represented as \( 5x + 18 \) degrees.

We can set up the equation based on the definition of supplementary angles:

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

Thus, the correct answer is:

B. \( 77 + (5x + 18) = 180 \).