Angle FF and angle HH are supplementary.

• The measure of angle F is 77°77°
• The measure of angle H is (5x+18)°(5x+18)°

Which equation can be used to calculate the value of xx?

A.77 = 5x + 1877 = 5x + 18

B.77 + (5x + 18) = 18077 + (5x + 18) = 180

C.77 + (5x + 18) = 9077 + (5x + 18) = 90

D.77 + (5x + 18) = 36077 + (5x + 18) = 360


Since angle \( F \) and angle \( H \) are supplementary, their measures add up to \( 180^\circ \). This means that:

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

Thus, the correct answer is:

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

Would you like further details on how to solve for \( x \)? 

Here are some related questions:

1. What steps would you take to solve for \( x \) after setting up the equation?
2. How do you verify if two angles are supplementary?
3. What if the angles were complementary? How would the equation change?
4. How can you confirm your solution is correct once you find \( x \)?
5. What are some real-world examples of supplementary angles?

**Tip:** Remember, supplementary angles always add up to 180°, while complementary angles add up to 90°.

Angle FF and angle HH are supplementary.

• The measure of angle F is 77°.
• The measure of angle H is (5x+18)°.

Which equation can be used to calculate the value of x?

A. 77 = 5x + 18
B. 77 + (5x + 18) = 180
C. 77 + (5x + 18) = 90
D. 77 + (5x + 18) = 360

Find the correct equation to solve for x in a supplementary angle problem where angle F is 77° and angle H is (5x + 18)°. Understand key algebra concepts and the supplementary angles theorem, ideal for students in Grades 6-8.

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