Math Problem Statement
Find the value of x in the diagram where angles 115° and 150° are given.
Solution
To solve this problem, we can use the property of a straight line: the sum of angles on a straight line is always 180°.
Step-by-step process:
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You are given that one angle is and another is , both forming a straight line.
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The sum of the two angles must equal .
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Solving for :
So, .
Would you like more details, or do you have any questions?
Here are five related questions to expand your understanding:
- What is the sum of interior angles in any triangle?
- How do exterior angles of a triangle relate to interior angles?
- Can the sum of two angles ever exceed 180°? Why or why not?
- What is the angle sum property of polygons other than triangles?
- How would you apply the same method if you were given different angle values?
Tip: Always remember that angles on a straight line sum to . This is called the linear pair property of angles.
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Math Problem Analysis
Mathematical Concepts
Geometry
Angles
Linear Pair
Formulas
x + 150° = 180°
Theorems
Linear Pair Theorem (angles on a straight line sum to 180°)
Suitable Grade Level
Grades 7-9