Determine the Value of X Using Third Angle Theorem and Congruent Triangles

The video tutorial explains how to determine the measure of an angle in a triangle using the third angle theorem. It demonstrates the process of finding the measure of angle N and how it corresponds to angle X. The tutorial also explores different methods to solve for angle X, emphasizing the use of equations and alternative calculation techniques.

What is the main goal of the problem introduced in the first section?

• To determine the measure of angle X

• To find the area of the triangle

• To find the measure of angle Y

• To calculate the perimeter of the triangle

Which theorem is used to calculate the third angle in a triangle?

• Alternate Interior Angles Theorem

• Third Angle Theorem

• Corresponding Angles Theorem

• Pythagorean Theorem

What is the measure of angle N calculated in the second section?

• 116 degrees

• 65 degrees

• 64 degrees

• 51 degrees

How is the value of X determined in the third section?

• By adding the angles and dividing by 3

• By using the equation 64 = 4X

• By subtracting 64 from 180

• By multiplying 64 by 4

What is the final value of X obtained in the third section?

• 10

• 12

• 16

• 14