Triangle Exterior Angle Theorem

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What is the Triangle Exterior Angle Theorem?

Back

The Triangle 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

Front

How do you identify remote interior angles in a triangle?

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

Tags

CCSS.8.G.A.5

Front

If one exterior angle measures 120 degrees, what is the sum of the remote interior angles?

Back

The sum of the remote interior angles would be 120 degrees.

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, not the adjacent interior angle.

Tags

CCSS.8.G.A.5

Front

How can you use the Triangle Exterior Angle Theorem to find the value of x in a triangle?

Back

Set the exterior angle equal to the sum of the two remote interior angles and solve for x.

Tags

CCSS.8.G.A.5

Front

What are the measures of the interior angles of a triangle?

Back

The measures of the interior angles of a triangle always add up to 180 degrees.

Tags

CCSS.8.G.A.5

Front

If angle d is an exterior angle, how do you find its remote interior angles?

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Identify the two interior angles that are not adjacent to angle d.

Tags

CCSS.8.G.A.5

Front

What is the formula for finding the measure of an exterior angle?

Back

The measure of an exterior angle = measure of remote interior angle 1 + measure of remote interior angle 2.

Tags

CCSS.8.G.A.5

Front

Can an exterior angle be less than either of its remote interior angles?

Back

No, an exterior angle is always greater than either of its remote interior angles.

Tags

CCSS.8.G.A.5

Front

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

Back

It provides a method to relate exterior angles to interior angles, which can simplify solving for unknown angles.

Tags

CCSS.8.G.A.5