Math Problem Statement

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

Solution

Since angles FF and HH are supplementary, their measures add up to 180°. Therefore, the correct equation to find xx is:

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

So, the answer is B. 77+(5x+18)=18077 + (5x + 18) = 180.

Would you like a detailed solution for solving xx in this equation, or do you have any other questions?

Here are 5 related questions for practice:

  1. What is the value of xx in this equation?
  2. How can we verify that angles are supplementary?
  3. If F=60\angle F = 60^\circ, what would H\angle H be in terms of xx?
  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).

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Math Problem Analysis

Mathematical Concepts

Algebra
Angle Relationships
Supplementary Angles

Formulas

Supplementary angles sum to 180°

Theorems

Supplementary Angle Theorem

Suitable Grade Level

Grades 7-8