Using the Isosceles triangle theorem to find the measure of x

The video tutorial explains the isosceles triangle theorem, which states that if two sides of a triangle are congruent, then the opposite angles are also congruent. The teacher demonstrates this by identifying congruent angles in a given triangle and solving for the variable x. The process involves setting up an equation based on the sum of angles in a triangle and solving for x. Finally, the teacher calculates the measure of the angles using the value of x.

What does the isosceles triangle theorem state about the angles opposite the congruent sides?

• They are equal to each other.

• They are complementary.

• They are supplementary.

• They are right angles.

If one angle in a triangle is 90 degrees and the other two are congruent, what is the sum of the other two angles?

• 180 degrees

• 90 degrees

• 60 degrees

• 45 degrees

How do you set up the equation to solve for x in the triangle problem discussed?

• 180 = 90 + 2x + 3 + 2x + 3

• 180 = 90 + 2x

• 180 = 90 + 3x

• 180 = 90 + x + x

What is the value of x when solving the equation 180 = 90 + 2x + 3 + 2x + 3?

• 20

• 22

• 21

• 23

What is the measure of each of the congruent angles when x is 21?

• 50 degrees

• 48 degrees

• 45 degrees

• 42 degrees