Math Problem Statement
Solution
This image shows a right triangle with a given angle of 64° and another angle labeled . Since the sum of the interior angles of any triangle is always 180°, we can use that fact to determine the value of .
In a right triangle, one of the angles is always 90°, so:
Simplifying:
Solving for :
So, the value of is .
Let me know if you would like any further details or explanations! Here are some related questions to think about:
- How would the calculation change if one of the other angles was unknown instead of ?
- Can you explain why the sum of the angles in a triangle always equals 180°?
- What would be the sum of the angles if this were not a right triangle?
- How does the Pythagorean theorem apply to right triangles like this one?
- How can you classify this triangle based on its angles?
Tip: Always remember that in any triangle, the sum of all interior angles is 180°, which is especially useful when solving for unknown angles.
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangles
Angle Sum in Triangles
Formulas
Sum of angles in a triangle: 180°
Right angle: 90°
Theorems
Angle Sum Theorem
Suitable Grade Level
Grades 6-8
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