Math Problem Statement
Find the unknown angles in the following triangle
Solution
To find the unknown angles in the given triangles, I'll analyze each triangle step-by-step. Here are the detailed explanations for each triangle:
Triangle (a)
- Given: One angle is .
- Solution: Since the sum of the angles in a triangle is always , the unknown angle can be found as:
Triangle (b)
- Given: Right triangle with angles and .
- Solution: Using the triangle angle sum property:
Triangle (c)
- Given: Right triangle with sides labeled, angles of , , and .
- Solution: We know:
Triangle (d)
- Given: One angle is , a triangle marked as right-angled.
- Solution: We use
Triangle (e)
- Given: An obtuse triangle with and side lengths labeled.
- Solution: To find :
Do confirm such results accuracy expectations further working if needing verify cross-check back deeper aspects approaches.
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Math Problem Analysis
Mathematical Concepts
Triangle Properties
Angle Sum Property
Right Triangle Properties
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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