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 non-adjacent interior angles.

Tags

CCSS.8.G.A.5

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How do you calculate the measure of an exterior angle?

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To calculate the measure of an exterior angle, add the measures of the two opposite interior angles.

Tags

CCSS.8.G.A.5

Front

If one interior angle of a triangle is 30° and another is 50°, what is the measure of the exterior angle?

Back

The exterior angle is 30° + 50° = 80°.

Tags

CCSS.8.G.A.5

Front

What is the relationship between interior angles and exterior angles in a triangle?

Back

The sum of the measures of the interior angles of a triangle is always 180°, and each exterior angle is equal to the sum of the two opposite interior angles.

Tags

CCSS.8.G.A.5

Front

If an exterior angle measures 120°, what are the possible measures of the two opposite interior angles?

Back

The two opposite interior angles must sum to 120°.

Tags

CCSS.8.G.A.5

Front

What is the formula to find the value of x in an equation involving exterior angles?

Back

Set up the equation based on the Exterior Angle Theorem: exterior angle = interior angle 1 + interior angle 2.

Tags

CCSS.8.G.A.5

Front

In a triangle, if one exterior angle is 150°, what is the sum of the two non-adjacent interior angles?

Back

The sum of the two non-adjacent interior angles is 150°.

Tags

CCSS.8.G.A.5

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How can you use the Exterior Angle Theorem to solve for unknown angles in a triangle?

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By setting up equations based on the theorem, you can express unknown angles in terms of known angles and solve for them.

Tags

CCSS.8.G.A.5

Front

What is the significance of the Exterior Angle Theorem in geometry?

Back

It helps in solving problems related to triangles, particularly in finding unknown angle measures.

Tags

CCSS.8.G.A.5

Front

If angle A is 70° and angle B is 40°, what is the measure of the exterior angle at vertex C?

Back

The exterior angle at vertex C is 70° + 40° = 110°.

Tags

CCSS.8.G.A.5