Math Problem Statement
Find the value of angle θ in the triangle ABC where angle A = 70°, angle C = 64°, and angle B = θ.
Solution
In the triangle , we are given the following angles:
- (unknown)
To find , we can use the fact that the sum of angles in any triangle is always . Therefore, we can write the equation:
Simplifying this:
Thus, .
Let me know if you need further details or explanations! Here are some related questions:
- What is the exterior angle theorem for triangles?
- Can a triangle have two angles larger than ?
- What is the relationship between the sides and angles in a triangle?
- How do you classify triangles based on their angles?
- Can you apply the Law of Sines to find the sides of this triangle?
Tip: The sum of interior angles in any polygon can be calculated using the formula , where is the number of sides. For triangles, this always results in .
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangles
Angle Sum Property
Formulas
Sum of angles in a triangle: θ + 70° + 64° = 180°
Theorems
Angle Sum Property of Triangles
Suitable Grade Level
Grades 6-8