Math Problem Statement
What is the measure of the third angle of a triangleif one angle measures 25° and the second angle measures 50°?
Solution
To find the measure of the third angle of a triangle, we use the triangle angle sum property, which states that the sum of the angles in a triangle is always .
Calculation:
Let the angles of the triangle be , , and . We know: Given:
Substitute the known values:
Simplify:
Solve for :
Final Answer:
The measure of the third angle is .
Do you want more details or have any questions about this?
Here are 5 related questions to expand your understanding:
- How do you verify the sum of angles in a triangle using geometry?
- What happens if a triangle has one angle larger than ?
- How can the angle sum property be applied to solve problems in polygons other than triangles?
- What are the different types of triangles based on their angles (e.g., acute, obtuse)?
- How do you calculate the angles of a triangle when given their sides (using trigonometry)?
Tip: Always double-check your angle sum to ensure it equals when working with triangles!
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangle Angle Sum
Formulas
Angle Sum Property: A + B + C = 180°
Theorems
Triangle Angle Sum Theorem
Suitable Grade Level
Grades 5-7
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