Exterior Angle Theorem

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What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

Tags

CCSS.8.G.A.5

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What are remote interior angles?

Back

Remote interior angles are the two angles inside a triangle that are not adjacent to a given exterior angle.

Tags

CCSS.8.G.A.5

Front

If one exterior angle measures 130°, what is the sum of the remote interior angles?

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The sum of the remote interior angles is 130°.

Tags

CCSS.8.G.A.5

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How do you set up an equation using the Exterior Angle Theorem?

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To set up an equation, use the formula: Exterior Angle = Remote Interior Angle 1 + Remote Interior Angle 2.

Tags

CCSS.8.G.A.5

Front

What is the relationship between an exterior angle and its adjacent interior angle?

Back

The exterior angle is equal to the sum of the two remote interior angles, but it is not directly related to the adjacent interior angle.

Tags

CCSS.8.G.A.5

Front

If Angle A is 50° and Angle B is 60°, what is the measure of the exterior angle formed at Angle C?

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The measure of the exterior angle at Angle C is 110° (50° + 60°).

Tags

CCSS.8.G.A.5

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What is the formula to find the measure of an exterior angle?

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The formula is: Measure of Exterior Angle = Measure of Angle 1 + Measure of Angle 2.

Tags

CCSS.8.G.A.5

Front

In a triangle, if one angle is 70° and another is 40°, what is the measure of the exterior angle adjacent to the 40° angle?

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The measure of the exterior angle is 110° (70° + 40°).

Tags

CCSS.8.G.A.5

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What is the significance of the Exterior Angle Theorem in solving triangle problems?

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The Exterior Angle Theorem helps in finding unknown angle measures in triangles, making it easier to solve for missing angles.

Tags

CCSS.8.G.A.5

Front

If the exterior angle is 180° - x, what can you say about the remote interior angles?

Back

The remote interior angles will sum up to 180° - x.

Tags

CCSS.8.G.A.5