Math Problem Statement
Solution
The question asks to find the correct equation to determine in the triangle . Here’s the reasoning based on the diagram:
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Understanding the Triangle: The triangle is isosceles, meaning two sides are equal, and thus the two base angles at and are also equal.
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Angle Notation:
- degrees
- Both and are each degrees, because they are base angles in an isosceles triangle.
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Triangle Sum Property: The sum of the interior angles of a triangle is always . Therefore, we can set up the equation: Simplifying this, we get:
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Answer Choice: The correct answer is:
Let me know if you need further details or explanation!
Here are five related questions for practice:
- How would you solve for after setting up the equation ?
- What if one of the angles in an isosceles triangle was known; how would you find the other angles?
- What is the general property of the sum of angles in any polygon, not just a triangle?
- How would the equation change if instead of ?
- What distinguishes an isosceles triangle from an equilateral triangle?
Tip: For any triangle, always remember that the sum of its interior angles is .
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Triangle Sum Property
Formulas
3x + x + x = 180
Theorems
Triangle Sum Theorem
Suitable Grade Level
Grade 8-10