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Exterior Angle Theorem and Solving Equations

Exterior Angle Theorem and Solving Equations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find the value of x in a triangle problem using the exterior angle theorem. The theorem states that the measure of an exterior angle equals the sum of the remote interior angles. The tutorial provides a step-by-step solution, starting with setting up the equation 3x + 6 = x + 30, simplifying it to 2x + 6 = 30, and solving for x to find that x equals 12.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of the problem discussed in the video?

To determine the perimeter of a triangle

To find the value of x

To calculate the area of a triangle

To find the value of y

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to solve the problem?

Pythagorean Theorem

Triangle Inequality Theorem

Exterior Angle Theorem

Interior Angle Theorem

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the exterior angle theorem, what does the measure of an exterior angle equal?

The sum of the measures of the adjacent interior angles

The sum of the measures of the remote interior angles

The difference between the measures of the remote interior angles

Twice the measure of one of the remote interior angles

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the exterior angle theorem in geometry?

It is used to calculate the area of circles

It relates the exterior angle to the remote interior angles

It determines the congruence of triangles

It helps in finding the perimeter of polygons

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the given problem, what is the expression for the exterior angle?

x + 6

x + 30

3x + 6

2x + 6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for the sum of the remote interior angles in the problem?

2x + 30

x + 30

3x + 6

x + 6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation 3x + 6 = x + 30?

Divide both sides by 2

Add x to both sides

Subtract x from both sides

Multiply both sides by 2

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