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?

Since angles \( F \) and \( H \) are supplementary, their measures add up to \( 180^\circ \). We know:

- Measure of angle \( F = 77^\circ \)
- Measure of angle \( H = (5x + 18)^\circ \)

We can set up the equation based on their sum:

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

Simplifying this equation:

\[
5x + 95 = 180
\]

This equation can now be used to solve for \( x \).

Would you like to continue with the solution or have further details?

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### Related Questions
1. How do you solve the equation \( 5x + 95 = 180 \) for \( x \)?
2. What are supplementary angles, and how are they used in geometry?
3. How would the equation change if the measure of angle \( F \) were different?
4. What if the angles were complementary instead of supplementary?
5. How would you check the solution once \( x \) is found?

**Tip:** Remember, supplementary angles always add up to \( 180^\circ \), while complementary angles add up to \( 90^\circ \).

Angle FF and angle HH are supplementary. The measure of angle F is 77°, and the measure of angle H is (5x + 18)°. Which equation can be used to calculate the value of x?

Solve for x when angles F and H are supplementary, given angle F as 77° and angle H as (5x + 18)°. This problem covers key geometry and algebra concepts, using the supplementary angles theorem to set up and simplify the equation. Ideal for students in Grades 7-9.

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