Math Problem Statement
Solution
The diagram shows two angles sharing a vertex . You have two labeled angles: one is and the other is . These two angles appear to form a linear pair because their sum is a straight line, which measures .
Step-by-step solution:
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Equation for angle sum: Since angles (measuring ) and (measuring ) form a straight line, the sum of these two angles should equal . So, the equation is:
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Solving for :
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Measure of : Since :
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Measure of : Since :
Answers:
- Equation:
Would you like further explanation on any step, or have any additional questions? Here are 5 related questions that might help deepen understanding:
- What are the characteristics of a linear pair of angles?
- How do you verify that two angles form a straight line?
- Can two angles have different measures but still add up to ?
- How do complementary angles differ from supplementary angles?
- If one of the angles were instead of , how would the solution change?
Tip: For any angles that form a straight line, their sum will always be .
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Math Problem Analysis
Mathematical Concepts
Geometry
Linear Pairs
Angle Relationships
Formulas
Sum of angles on a straight line: angle1 + angle2 = 180°
Theorems
Linear Pair Postulate
Suitable Grade Level
Grades 6-8