Math Problem Statement
if m/EBH=(6x+12) and m/HBC= (8x-10) find m/EBH
Solution
To solve for , given the following information:
We need additional information about the relationship between these angles. If these two angles are somehow related (for example, they form a linear pair, are complementary, or supplementary), we can set up an equation to solve for .
Assuming and form a linear pair (meaning they are adjacent and sum to ), we can set up the following equation:
Step-by-step solution:
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Combine like terms:
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Subtract 2 from both sides:
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Divide both sides by 14:
Now that we have , we can substitute it back into the expression for :
Thus, .
Do you need more details or have any questions?
Related Questions:
- What happens if and are complementary instead of forming a linear pair?
- How would the solution change if the sum of these angles is given to be ?
- Can you verify the relationship between the angles from a diagram if provided?
- What are other possible types of angle relationships in geometry?
- How do you solve similar problems involving different kinds of angles, such as vertical angles?
Tip:
Always look for key words that describe angle relationships, such as "linear pair," "complementary," or "supplementary." These words are crucial in setting up the correct equations for solving geometric problems.
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Linear Pair of Angles
Formulas
Sum of angles in a linear pair: m/∠EBH + m/∠HBC = 180°
Theorems
Linear Pair Theorem
Suitable Grade Level
Grades 9-10