Math Problem Statement
Solution
The image shows a triangle with angles 50°, 100°, and (the unknown angle we need to find). The sum of all interior angles of a triangle is always 180°.
To find the unknown angle :
Thus, the value of is . The correct answer is B. 30°.
Would you like more details or have any further questions?
Here are some related questions to expand your understanding:
- How do we calculate the exterior angle of a triangle?
- What is the sum of the angles in a quadrilateral?
- What happens to the angles in an equilateral triangle?
- How would the solution change if this were an obtuse triangle?
- Can a triangle have more than one obtuse angle?
Tip: Always remember that the sum of interior angles in any triangle is 180°.
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangle Interior Angles
Formulas
Sum of interior angles in a triangle = 180°
Theorems
Triangle Angle Sum Theorem
Suitable Grade Level
Grades 6-8
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