Finding the measure of an angle using angle addition theorem

The video tutorial explains how to solve a geometry problem involving angles. It introduces the problem, identifies the given information, and explains the use of variables and expressions. The angle sum theorem is applied to set up an equation, which is then solved to find the value of the variable X. Finally, the measures of angles ABC and DBC are calculated using the found value of X.

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

• 79 degrees

• 45 degrees

• 90 degrees

• 34 degrees

Which theorem is used to find the measures of angles ABC and DBC?

• Congruence Theorem

• Similarity Theorem

• Pythagorean Theorem

• Angle Sum Theorem

What is the equation set up to solve for X in the problem?

• 5X + 4 = 79

• 5X + 4 + 8X - 3 = 79

• 5X - 4 + 8X + 3 = 79

• 8X - 3 = 79

What is the value of X after solving the equation?

• 5

• 7

• 6

• 8

What is the measure of angle ABC after finding the value of X?

• 34 degrees

• 79 degrees

• 45 degrees

• 50 degrees