Math Problem Statement
In the figure below, m∠1 = 69°. Find m∠2.
Solution
In the given figure, and are part of a linear pair. This means the two angles are adjacent and form a straight line, so their measures sum up to .
We are given that the measure of . To find , we can use the following equation:
Substituting the known value:
Solving for :
Thus, .
Would you like further details on this solution or have any other questions?
Here are 5 related questions to explore:
- What is a linear pair of angles?
- How are supplementary angles defined?
- Can two obtuse angles form a linear pair?
- What other angle relationships exist besides linear pairs?
- How do adjacent angles differ from linear pairs?
Tip: When dealing with linear pairs, remember that the angles will always sum to , as they form a straight line.
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Math Problem Analysis
Mathematical Concepts
Linear Pair
Supplementary Angles
Formulas
m∠1 + m∠2 = 180°
Theorems
Linear Pair Theorem
Suitable Grade Level
Grades 6-8