Math Problem Statement
If m∠ABD = 78°, what are m∠ABC and m∠DBC?
Solution
Let's analyze the image you provided.
We are given:
- The expressions for angles:
We need to find .
Step-by-step Solution:
-
Find using given angles:
Since , we can write:
-
Solve for :
Thus, .
Would you like more details or have any questions? Here are some related questions you might explore:
- What is the measure of using the expressions given?
- How do you solve for using the expressions for and ?
- What is the relationship between angles on a straight line?
- How can you verify if the given values are correct?
- How do supplementary angles relate to this problem?
Tip: When solving for unknowns, always check if there are multiple equations you can use to verify your solution.
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Math Problem Analysis
Mathematical Concepts
Geometry
Angle Calculation
Formulas
Sum of angles on a straight line
Theorems
Supplementary Angles Theorem
Suitable Grade Level
Grades 6-8