Angle F
 and angle H
 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) = 360

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

D.77 + (5x + 18) = 180


Since angle \( F \) and angle \( H \) are supplementary, their measures add up to 180°. Given:

- \( \text{measure of angle } F = 77^\circ \)
- \( \text{measure of angle } H = (5x + 18)^\circ \)

The equation that represents the relationship between these angles is:
\[
77 + (5x + 18) = 180
\]

**Answer: (D) \( 77 + (5x + 18) = 180 \)**

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

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Here are some related questions to expand your understanding:

1. How do you find the measure of an angle that is complementary to another angle?
2. What does it mean for two angles to be supplementary versus complementary?
3. How do you solve for \( x \) once you have an equation like \( 77 + (5x + 18) = 180 \)?
4. What are other examples of angle relationships in geometry?
5. How would this problem change if the angles were complementary instead?

**Tip:** Always check if angles are complementary or supplementary before setting up an equation, as this changes the sum of their measures.

Angle F and angle H 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) = 360

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

D. 77 + (5x + 18) = 180

Learn to determine the correct equation to solve for x in a supplementary angles problem where Angle F is 77° and Angle H is (5x+18)°. This problem covers key concepts in geometry and algebra, suitable for students in Grades 7-9.

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