Solving Equations and Triangle Angles

The video tutorial explains how to find the measures of angles in a triangle given in terms of a variable x. It reviews the sum of angles in a triangle, sets up a linear equation, solves for x, and calculates each angle's measure. The solution is verified by checking if the angles sum to 180 degrees.

What is the task given in the problem involving the triangle?

• Find the perimeter of the triangle.

• Determine the type of triangle.

• Calculate the measure of each angle.

• Identify the longest side.

What is the sum of the interior angles in any triangle?

• 180 degrees

• 270 degrees

• 90 degrees

• 360 degrees

How is the first angle of the triangle expressed in terms of x?

• 4x + 20

• 2x - 10

• x

• 3x + 40

What is the equation formed by adding the expressions for the angles?

• 2x + 3x + x = 90

• 2x - 10 + 3x + 40 + x = 180

• x + x + x = 180

• 2x + 3x + 4x = 180

What is the value of x after solving the equation?

• 15

• 25

• 30

• 20

Which of the following is NOT a step in solving for x?

• Dividing both sides by 6

• Multiplying both sides by 6

• Subtracting 30 from both sides

• Combining like terms

What is the first step in solving the equation for x?

• Divide both sides by 6

• Add 30 to both sides

• Subtract 30 from both sides

• Multiply both sides by 6

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

• 8x

• 7x

• 6x

• 5x

What is the result of adding -10 and 40?

• 40

• 30

• 50

• 20

What is the measure of the angle expressed as 2x - 10 when x is 25?

• 30 degrees

• 60 degrees

• 50 degrees

• 40 degrees