Math Problem Statement
Solution
In the image, I see a triangle with one labeled angle of and an adjacent line with an indicated angle of , likely suggesting a right angle. This seems to indicate a right triangle with a 90-degree angle, and the 72-degree angle is one of the non-right angles.
To find the remaining angle in the triangle, we use the fact that the sum of angles in a triangle is always . Therefore, the missing angle, , can be calculated as follows:
Thus, the remaining angle in the triangle is .
Would you like a more detailed explanation or have any other questions about this?
Here are 5 related questions to think about:
- How can you calculate the side lengths of this right triangle if one of the sides is known?
- What is the sine, cosine, or tangent of the 72° angle in this triangle?
- How would the triangle change if the 72° angle were altered to another value?
- Can you identify other types of triangles based on their angle properties (e.g., equilateral or isosceles)?
- What are the uses of the Pythagorean theorem in right triangles like this one?
Tip: The sum of interior angles in any triangle always adds up to , which is helpful for solving many types of triangle-related problems.
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Math Problem Analysis
Mathematical Concepts
Triangle Geometry
Angle Sum Property
Formulas
Sum of angles in a triangle: 180° = 90° + 72° + x
Theorems
Sum of interior angles in a triangle theorem
Suitable Grade Level
Grades 6-8
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