Solving for Unknown Angles

The video tutorial explains how to solve an angle problem using the angle sum theorem. It starts by introducing the problem, which involves finding the measures of angles ABC and DBC given the measure of angle ABD. The tutorial explains how to use expressions with a variable x to represent the angles and solve for x using the angle sum theorem. Once x is determined, the values are plugged back into the expressions to find the measures of the angles. The tutorial concludes with a summary of the problem-solving process.

What is the measure of angle ABD given in the problem?

• 45 degrees

• 79 degrees

• 34 degrees

• 90 degrees

What are the two angles we need to find the measures of?

• ABD and ABC

• ABC and ACD

• ABC and DBC

• ABD and DBC

What is the unknown variable used in the expressions for the angles?

• w

• x

• z

• y

Which theorem is used to solve the problem of finding the angle measures?

• Cosine Rule

• Sine Rule

• Angle Sum Theorem

• Pythagorean Theorem

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

• 5x + 4 + 8x - 3 = 79

• 8x - 3 = 79

• 5x - 4 + 8x + 3 = 79

• 5x + 4 = 79

What is the value of x after solving the equation?

• 6

• 5

• 7

• 8

What is the first step in solving for the unknown variable x?

• Divide by 13

• Add the expressions for the angles

• Subtract 1 from both sides

• Multiply by 13

What operation is performed after adding the expressions for the angles?

• Multiply by 13

• Subtract 1 from both sides

• Add 1 to both sides

• Divide by 13

What is the result of subtracting 1 from both sides of the equation?

• 13x = 80

• 13x = 77

• 13x = 78

• 13x = 79

What is the final step in solving for x?

• Divide by 13

• Multiply by 13

• Subtract 1 from both sides

• Add 1 to both sides