Math Problem Statement
The measures of the angles of a triangle are shown in the figure. Solve for x given the angles: 75°, 42°, and (8x + 15)°.
Solution
The value of is 6.
Would you like more details on how this was solved or have any further questions?
Here are 5 related questions to deepen your understanding:
- How can the sum of the angles in a triangle be proven to always equal 180°?
- What happens to the values of the angles if increases or decreases?
- Can this method be used to solve for variables in other polygons' interior angles?
- How would you solve for the side lengths of the triangle if they were given in terms of ?
- How can trigonometry help when only two angles of a triangle are known?
Tip: Always check the sum of angles in any polygon using known formulas. For triangles, the angles always sum up to 180°.
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Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Angle Sum Property
Formulas
Sum of angles in a triangle: 180°
Theorems
Sum of Interior Angles Theorem
Suitable Grade Level
Grades 7-9