Math Problem Statement
Solution
This is a triangle where one of the angles is given as , and the task is to find the measure of angle . Since no information about the other angles or sides is provided, we assume this is a triangle and use the Triangle Sum Theorem, which states that the sum of all angles in a triangle is .
Solution:
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Denote the three angles of the triangle as:
- (given),
- (unknown, to be found),
- A third angle we'll call .
-
The sum of all angles in a triangle is :
-
Notice that angle is a right angle () because the triangle has a right angle in its diagram.
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Substitute into the equation:
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Simplify:
-
Solve for :
This suggests an inconsistency, likely a misinterpretation of the triangle's setup. For clarity:
- Verify whether the diagram correctly intends a right angle, or if more detail is required to find .
- Ask for clarification if needed.
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Math Problem Analysis
Mathematical Concepts
Triangle Sum Theorem
Angles in Triangles
Formulas
Sum of angles in a triangle = 180°
Theorems
Triangle Sum Theorem
Suitable Grade Level
Grades 6-8
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