G8Q4 L02 - EXTERIOR ANGLE INEQUALITY THEOREM

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Multiple Choice

The following lengths can be used for the third side of a triangle with lengths 4 and 7 except

• 2

• 5

• 4

• 10

Multiple Choice

The diagram is not drawn to scale.

Which of the following inequalities for x is correct?

• 1 < x < 15
• x > 15
• x < 1
• 7 < x < 8

Open Ended

How can you determine whether three sides can form a triangle?

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A E E E I O X T R R N G L S

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A E E I I O N T R R N G L S

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A E E E E I I O O R M T N T R R N G L S

EXTERIOR ANGLE INEQUALITY THEOREM

LEARNING TARGETS

1. I can state the Exterior Angle Inequality Theorem.

2. I can identify the Exterior Angles.

3. I can solve the measures of the exterior angles.

Fill in the Blanks

An exterior angle is always _ to one of the interior angles of a triangle.

Fill in the Blanks

The measure of an exterior angle is _ any of its remote interior angles.

Multiple Choice

One may say that in the figure below, m∠WUV + m∠UVW = m∠EWV because of the _.

• Exterior Angle Theorem
• Vertical Angles Theorem
• Triangle Sum Theorem
• Angle Addition Postulate

ACTIVITY 4:
FIND THE ANGLES

Multiple Choice

In the figure, what is the value of x?

• 11

• 12

• 13

• 14

Multiple Choice

Find the value of x in the figure.

• 10

• 11

• 12

• 13

Multiple Choice

Which of the following statements is true about the figure?

• ∠DEF is larger than each of ∠FGE and ∠EFG.

• ∠FEG is larger than each of ∠FGE and ∠EFG.

• The measure ∠DEF is larger than the sum of the measures ∠FGE and ∠EFG.

• The measure ∠FEG is larger than the sum of the measures ∠FGE and ∠EFG.

Multiple Choice

What is the measure of ∠U in the figure?

• 40°

• 60°

• 45°

• 65°

Multiple Choice

What would be the sum of the measures of ∠EWV, ∠WVU, and WUV in the figure?

• 288°

• 360°

• 144°

• 215°

Multiple Choice

What is the measure of the exterior angle adjacent to ∠WUV ?

• 113°

• 77°

• 144°

• 103°

REVISITING LEARNING TARGETS

• I can state the Exterior Angle Inequality Theorem.

• I can identify the Exterior Angles.

• I can solve the measures of the exterior angles.