Triangle Angle Ratios and Properties

This video tutorial explains how to solve a common class 8 math problem involving finding the angles of a triangle given in the ratio 2:3:4. The teacher begins by introducing the problem and explaining the fundamental property that the sum of all angles in a triangle is 180 degrees. The tutorial then demonstrates how to set up an equation using a common factor, solve for the variable x, and calculate the individual angles. The video concludes with a summary of the solution and an invitation for viewers to ask questions or subscribe for more content.

What is the ratio of the angles given in the problem?

• 2:3:4

• 1:2:3

• 4:5:6

• 3:4:5

What is the sum of all angles in a triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

What is the first step when angles are given in a ratio?

• Divide the angles

• Multiply the angles

• Add the angles directly

• Assume a common factor

If the angles are in the ratio 2:3:4, what expression represents the smallest angle?

• 2x

• 3x

• 4x

• 5x

What equation is set up to find the common factor x?

• 2x + 3x + 4x = 360

• 2x + 3x + 4x = 270

• 2x + 3x + 4x = 180

• 2x + 3x + 4x = 90

What is the value of x when 9x = 180?

• 10

• 15

• 20

• 25

What is the measure of the smallest angle in the triangle?

• 50 degrees

• 40 degrees

• 30 degrees

• 20 degrees

What is the measure of the second angle in the triangle?

• 80 degrees

• 70 degrees

• 60 degrees

• 50 degrees

What is the measure of the largest angle in the triangle?

• 70 degrees

• 80 degrees

• 90 degrees

• 100 degrees

What is the sum of the angles 40, 60, and 80 degrees?

• 180 degrees

• 170 degrees

• 160 degrees

• 190 degrees