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) = 180

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

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



Since angles \( F \) and \( H \) are supplementary, their measures add up to \( 180^\circ \). This relationship gives us the following equation:

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

So, the correct answer is:

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

Would you like further details or have any questions?

Here are some additional questions to expand on this topic:

1. What is the definition of complementary angles, and how does it differ from supplementary angles?
2. How would you solve for \( x \) using the equation we identified?
3. What is the measure of angle \( H \) once you find the value of \( x \)?
4. Can two obtuse angles be supplementary? Why or why not?
5. How would the equation change if angles \( F \) and \( H \) were complementary instead?

**Tip:** Always remember that supplementary angles add up to \( 180^\circ \), while complementary angles add up to \( 90^\circ \).

Angle F and angle H 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? A. 77 = 5x + 18, B. 77 + (5x + 18) = 180, C. 77 + (5x + 18) = 90, D. 77 + (5x + 18) = 360

Learn to find the value of x when given that angles F and H are supplementary, with F = 77° and H = (5x + 18)°. Discover step-by-step how to set up and solve equations for supplementary angles. Ideal for Grades 6-8.

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