Math Problem Statement
Solve for x in a triangle with angles 70°, 63°, and x + 56°.
Solution
This is a triangle problem where you are asked to solve for .
Solution Steps:
In a triangle, the sum of the interior angles is always . The angles given are:
- ,
- ,
- The remaining angle is represented as .
To solve for , set up the equation using the fact that the sum of the angles in a triangle is :
Now, combine the constants on the left-hand side:
Simplify further:
Now, solve for :
Thus, .
Let me know if you'd like further clarification or additional details!
Related Questions:
- What are the interior angles of an equilateral triangle?
- How do you solve for angles in an isosceles triangle?
- What is the exterior angle theorem in triangles?
- How do you prove that the sum of the angles in any triangle is ?
- How do you calculate the angles of a triangle given two sides and one angle?
Tip:
When solving for angles, always double-check that the sum of the angles adds up to to avoid errors!
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangles
Formulas
Sum of angles in a triangle: A + B + C = 180°
Theorems
Triangle Angle Sum Theorem
Suitable Grade Level
Grades 7-10