How to Solve for X in Triangle Angles - GED Math Explained

The Triangle Angle Sum Theorem

• 💡 The fundamental rule for solving angles in any triangle is that the sum of the three interior angles must equal 180 degrees.
• 🎯 This principle is applied by setting up an equation where the sum of the expressions for each angle equals 180.

Solving for X in Triangle Problems

• 🔑 The video demonstrates solving for an unknown variable, 'x', within triangle angle expressions.
• ➕ First, combine like terms for the 'x' components and the constant terms in the angle expressions.
• ➖ Next, isolate the 'x' term by subtracting the constant from both sides of the equation.
• ➗ Finally, divide by the coefficient of 'x' to find its value.

Calculating Individual Angle Measures

• 📐 Once 'x' is determined, substitute its value back into each angle's expression to find its specific degree measure.
• ✅ As a final check, add the calculated angle measures to ensure they sum up to 180 degrees, confirming the accuracy of the solution.
• 🏆 The example problem concludes that x equals 12.