Solving Equations and Angles

The video tutorial explains how to solve a problem involving angles in a triangle. Angle A is three times the size of angle C, and angle B is 80° larger than angle C. By setting angle C as X, the tutorial guides through setting up and solving an equation to find the measure of angle C. The solution reveals angle C is 20°, angle A is 60°, and angle B is 100°.

In the given triangle, how is angle A related to angle C?

• Angle A is twice as large as angle C.

• Angle A is three times as large as angle C.

• Angle A is equal to angle C.

• Angle A is half of angle C.

What is the relationship between angle B and angle C?

• Angle B is 30° larger than angle C.

• Angle B is 80° larger than angle C.

• Angle B is 50° larger than angle C.

• Angle B is equal to angle C.

If angle C is represented by X, how can angle A be expressed?

• X - 80

• 3X

• X + 80

• 2X

How can angle B be expressed in terms of X?

• X - 80

• 2X

• X + 80

• 3X

What equation represents the sum of the angles in the triangle?

• X + 2X + X + 80 = 180

• 3X + 80 = 180

• X + X + 80 = 180

• X + 3X + X + 80 = 180

What is the first step in solving the equation 5X + 80 = 180?

• Add 80 to both sides.

• Divide both sides by 5.

• Subtract 80 from both sides.

• Multiply both sides by 5.

After subtracting 80 from both sides, what is the resulting equation?

• 5X = 100

• 5X = 180

• X = 180

• X = 100

What is the value of X after solving the equation 5X = 100?

• X = 10

• X = 20

• X = 30

• X = 40

What is the measure of angle B if angle C is 20°?

• 60°

• 40°

• 80°

• 100°

What is the measure of angle A if angle C is 20°?

• 100°

• 60°

• 80°

• 40°