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°. Therefore, the correct equation to find \( x \) is:

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

So, the answer is **B. \( 77 + (5x + 18) = 180 \)**.

Would you like a detailed solution for solving \( x \) in this equation, or do you have any other questions?

Here are 5 related questions for practice:

1. What is the value of \( x \) in this equation?
2. How can we verify that angles are supplementary?
3. If \( \angle F = 60^\circ \), what would \( \angle H \) be in terms of \( x \)?
4. What does it mean for two angles to be complementary, and how would that equation differ?
5. What are other types of angle relationships that form equations like this?

**Tip:** Always check that the sum of angles satisfies the relationship stated (e.g., 180° for supplementary angles).

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

Find out how to solve for x when two angles are supplementary. Given that angle F is 77° and angle H is (5x + 18)°, learn to set up the correct equation and understand the concept of supplementary angles. Perfect for Grades 7-8 students.

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