Math Problem Statement
Find the value of x in a linear pair, where one angle is 153 degrees and the other is (x-3) degrees.
Solution
The image shows a straight angle, with two angles labeled: one is and the other is . These two angles form a linear pair, meaning they are supplementary, and their sum must equal .
Let's solve for :
Simplifying the equation:
Thus, the value of is .
Would you like further details on this solution?
Here are some related questions:
- What are supplementary angles?
- Can angles in a triangle also be supplementary?
- How do linear pairs help in solving for unknown angles?
- What would happen if the angle sum exceeded in such cases?
- How can we use algebra in geometry to solve angle problems?
Tip: When working with linear pairs, always remember that their sum is , as they form a straight line.
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Math Problem Analysis
Mathematical Concepts
Linear Pair
Supplementary Angles
Basic Algebra
Formulas
Sum of supplementary angles = 180 degrees
Theorems
Linear Pair Theorem
Suitable Grade Level
Grades 6-8