Solving Linear Equations and Angles

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 solving the equation by isolating x and calculating the measures of each angle. Finally, it verifies the results and concludes the problem-solving process.

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

• 270°

• 90°

• 180°

• 360°

If one angle is represented by 2x + 30, what is the expression for the other angle if their sum is 180°?

• 2x - 10

• 2x - 30

• 2x + 50

• 2x + 10

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

• Add 10 to both sides

• Divide by 2

• Subtract 30 from both sides

• Combine like terms

After combining like terms, what is the simplified equation?

• 4x + 20 = 180

• 4x - 20 = 180

• 2x + 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

• Multiply both sides by 4

• Divide both sides by 4

• Add 20 to both sides

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

• 50

• 40

• 30

• 20

How do you find the measure of the obtuse angle using the value of x?

• Subtract 10 from x

• Add 30 to x

• Substitute x into 2x - 10

• Substitute x into 2x + 30

What is the measure of the obtuse angle when x = 40?

• 100°

• 130°

• 110°

• 120°

What is the measure of the other angle if the obtuse angle is 110°?

• 80°

• 90°

• 60°

• 70°

How can you verify the measure of the other angle?

• By adding 10 to x

• By substituting x into 2x - 10

• By substituting x into 2x + 30

• By subtracting 30 from x