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 and are supplementary, their measures add up to 180°. Therefore, the correct equation to find is:
So, the answer is B. .
Would you like a detailed solution for solving in this equation, or do you have any other questions?
Here are 5 related questions for practice:
- What is the value of in this equation?
- How can we verify that angles are supplementary?
- If , what would be in terms of ?
- What does it mean for two angles to be complementary, and how would that equation differ?
- 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
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