Math Problem Statement
Solution
To find the value of , we will use the information provided in the image. The image gives us the following angles:
From the diagram, we can see that:
Substituting the given values:
Now, let's solve for :
So, the value of is .
Would you like further details or have any questions?
Here are some related questions that you might find interesting:
- How do you verify the value of using angle properties?
- What would be the value of once is found?
- How would the problem change if was different?
- Can you calculate the supplementary angle to ?
- How can you use these angle relationships to solve for unknowns in other geometric figures?
Tip: When solving for unknown variables in angles, always consider the relationships between angles, such as complementary, supplementary, or angles that form a straight line.
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Math Problem Analysis
Mathematical Concepts
Algebra
Angle Sum Property
Linear Pair
Formulas
m∠ABD = m∠ABC + m∠CBD
Theorems
Angle Sum Property
Linear Pair Theorem
Suitable Grade Level
Grades 7-9
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