Master Find the missing Angle Measure using the Angle Sum Postulate

The video tutorial demonstrates how to apply the angle sum postulate to solve for missing angle values. It covers multiple examples, showing step-by-step solutions for finding unknown variables and verifying angle measures. The tutorial emphasizes combining like terms and setting up equations to find the measure of angles using given conditions.

What does the angle sum postulate state about the sum of smaller angles?

• The sum of smaller angles equals the larger angle they form.

• The sum of smaller angles is equal to 360 degrees.

• The sum of smaller angles is always less than 90 degrees.

• The sum of smaller angles is always more than 180 degrees.

In the first example, what is the value of X when the sum of angles is 140 degrees?

• 30 degrees

• 27 degrees

• 20 degrees

• 25 degrees

How do you combine like terms in an equation?

• By dividing the terms by the largest coefficient.

• By multiplying all terms together.

• By ignoring the numeric terms.

• By adding or subtracting the coefficients of similar variables.

What is the value of X in the second example when the equation is simplified to 13X + 1 = 79?

• 8

• 5

• 6

• 7

In the third example, what is the measure of angle GHY when X is found to be 20 degrees?

• 25 degrees

• 30 degrees

• 35 degrees

• 40 degrees

What is the measure of angle IY in the third example?

• 50 degrees

• 55 degrees

• 65 degrees

• 60 degrees

In the final example, what is the value of X when the equation is 7X - 14 = 155?

• 21

• 22

• 23

• 24