Math Problem Statement
Find the value of x in the given triangle with angles 36°, 110°, and x°.
Solution
The image depicts a triangle with two known angles, 36° and 110°, along with an unknown angle that needs to be found.
To solve for :
- Sum of interior angles in a triangle: The sum of the interior angles of any triangle is always 180°. In this case, the three angles are , , and .
We can set up the equation:
- Solving for :
Thus, the value of is .
Do you want any more details or have further questions?
Here are five related questions:
- What is the sum of the exterior angles of a triangle?
- How can you classify a triangle based on its angles?
- What are the properties of an isosceles triangle?
- Can a triangle have two obtuse angles? Why or why not?
- What happens if the sum of two angles in a triangle exceeds 180°?
Tip: Always double-check your calculations in geometry by verifying angle sums, especially in triangles!
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Math Problem Analysis
Mathematical Concepts
Geometry
Angles in a Triangle
Formulas
Sum of angles in a triangle: 36° + 110° + x = 180°
Theorems
Triangle Sum Theorem
Suitable Grade Level
Grades 6-8