Question
Angle F and angle H are supplementary angles.
* 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
* 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
Answers
GPT-4o mini
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. \( 77 + (5x + 18) = 180 \)**.
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. \( 77 + (5x + 18) = 180 \)**.