Exploring Triangle Angle Sum Theory in Equations

The video tutorial explains how to find the value of x in a triangle by using the property that the sum of angles in a triangle is always 180 degrees. It guides through setting up an equation, solving it step-by-step, and verifying the solution by substituting the value back into the original equation.

What is the sum of the angles in any triangle?

• 270 degrees

• 180 degrees

• 90 degrees

• 360 degrees

Which equation represents the sum of the angles in the given triangle?

• 2x + 3x - 10 + 50 = 270

• 2x + 3x - 10 + 50 = 90

• 2x + 3x - 10 + 50 = 360

• 2x + 3x - 10 + 50 = 180

What is the first step in simplifying the equation 2x + 3x - 10 + 50 = 180?

• Divide by 2

• Add 10 to both sides

• Combine like terms

• Subtract 50 from both sides

What is the result of combining the like terms 2x and 3x?

• 6x

• 4x

• 3x

• 5x

What is the next step after combining like terms in the equation 5x - 10 + 50 = 180?

• Add 10 to both sides

• Divide by 5

• Subtract 50 from both sides

• Change subtraction to addition

What is the simplified form of the equation after changing subtraction to addition?

• 5x - 40 = 180

• 5x + 50 = 180

• 5x + 40 = 180

• 5x - 50 = 180

What is the value of x after solving the equation 5x + 40 = 180?

• 28

• 30

• 25

• 20

What operation is used to isolate x in the equation 5x = 140?

• Addition

• Subtraction

• Division

• Multiplication

What is the final step to ensure the solution is correct?

• Rewriting the equation

• Substituting the value of x back into the original equation

• Adding 10 to both sides

• Multiplying both sides by 2

What should the sum of the angles be when the value of x is substituted back into the original equation?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees