Solving Equations and Angle Relationships

The video tutorial explains how to solve a problem involving supplementary angles. It begins by defining straight and supplementary angles, then sets up an equation to find the value of x. The tutorial walks through the steps to isolate and solve for x, and then calculates the measures of each angle using the value of x. Finally, it verifies the results and concludes the problem-solving process.

What is the sum of two angles that form a straight angle?

• 360°

• 270°

• 180°

• 90°

If two angles are supplementary, what is their combined measure?

• 270°

• 360°

• 90°

• 180°

What is the expression for the angle on the left?

• 2x - 10

• 2x + 30

• x + 30

• x - 10

What is the expression for the angle on the right?

• 2x + 30

• 2x - 10

• x - 10

• x + 30

What is the first step in solving the equation 2x + 30 + 2x - 10 = 180°?

• Add 10 to both sides

• Subtract 30 from both sides

• Divide by 2

• Combine like terms

After combining like terms, what is the simplified equation?

• 4x + 20 = 180

• 2x + 20 = 180

• 4x - 20 = 180

• 2x - 20 = 180

What operation is performed to isolate the variable x in the equation 4x + 20 = 180?

• Subtract 20 from both sides

• Add 20 to both sides

• Divide both sides by 4

• Multiply both sides by 4

What is the value of x after solving the equation 4x = 160?

• 20

• 30

• 40

• 50

What is the first step in solving the equation 4x + 20 = 180?

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 20 from both sides

• Add 20 to both sides

What is the final step in solving for x in the equation 4x = 160?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 20 from both sides

• Add 20 to both sides