Calculating Angles and Solving for X

The video tutorial explains how to find the measures of angles ABD and CBD given that angle ABC is a straight angle. It starts by introducing the problem and explaining the concept of a straight angle. The tutorial then sets up an equation to solve for X, which represents the variable in the angle expressions. After solving for X, the video demonstrates how to calculate the measures of angles ABD and CBD, ensuring they add up to 180 degrees, confirming that angle ABC is indeed a straight angle.

What are the expressions given for angles ABD and CBD?

• 8X + 4 and 6X + 8

• 7X + 5 and 5X + 7

• 9X + 3 and 4X + 9

• 6X + 4 and 8X + 6

What is the measure of a straight angle?

• 180 degrees

• 90 degrees

• 45 degrees

• 360 degrees

Why do angles ABD and CBD add up to 180 degrees?

• Because they are complementary angles

• Because they form a straight angle

• Because they are supplementary angles

• Because they are adjacent angles

What equation is set up to find the value of X?

• 8X + 4 = 180

• 6X + 8 = 180

• 8X + 4 - 6X + 8 = 180

• 8X + 4 + 6X + 8 = 180

What is the first step in solving for X?

• Add the expressions for ABD and CBD

• Subtract the expressions for ABD and CBD

• Divide the expressions for ABD and CBD

• Multiply the expressions for ABD and CBD

What is the value of X after solving the equation?

• 12

• 14

• 10

• 16

What operation is performed after combining like terms in the equation?

• Subtraction

• Multiplication

• Division

• Addition

How is the measure of angle ABD calculated?

• By adding 8X and 6X

• By substituting X into 6X + 8

• By subtracting 6X from 8X

• By substituting X into 8X + 4

What is the measure of angle ABD?

• 110 degrees

• 100 degrees

• 90 degrees

• 80 degrees

How is the measure of angle CBD calculated?

• By substituting X into 8X + 4

• By substituting X into 6X + 8

• By subtracting 6X from 8X

• By adding 8X and 6X