Angle Relationships and Algebraic Expressions

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°

• 360°

• 180°

• 90°

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

• 270°

• 360°

• 180°

• 90°

What is the first step in setting up the equation for the given problem?

• Adding the expressions and setting them equal to 180°

• Dividing the expressions

• Subtracting the expressions

• Multiplying the expressions

How do you combine like terms in the equation 2x + 30 + 2x - 10?

• Multiply 2x by 30

• Add 2x and 30

• Subtract 10 from 30

• Add 2x and 2x, then 30 and -10

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

• Add 20 to both sides

• Subtract 20 from both sides

• Multiply both sides by 4

• Divide both sides by 4

After isolating x, what is the value of x in the equation 4x = 160?

• 20

• 30

• 50

• 40

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

• 90°

• 100°

• 120°

• 110°

How do you find the measure of the other angle once you know one angle is 110°?

• Subtract 110 from 180

• Add 110 to 180

• Multiply 110 by 2

• Divide 110 by 2

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

• 60°

• 90°

• 80°

• 70°

How can you verify the measure of the second angle?

• By dividing the expression 2x by 10

• By multiplying the expression 2x by 10

• By substituting x into the expression 2x - 10

• By adding 10 to the expression 2x