Exterior Angle Theorem

Front

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

Front

How do you calculate the measure of an exterior angle in a triangle?

Back

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 degrees and another is 50 degrees, what is the measure of the exterior angle adjacent to the 50-degree angle?

Back

The exterior angle is 30 + 50 = 80 degrees.

Tags

CCSS.8.G.A.5

Front

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

Back

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

Tags

CCSS.8.G.A.5

Front

If the exterior angle of a triangle is 120 degrees, what is the sum of the two opposite interior angles?

Back

The sum of the two opposite interior angles is 120 degrees.

Tags

CCSS.8.G.A.5

Front

In a triangle, if one exterior angle measures 105 degrees, what can you say about the two non-adjacent interior angles?

Back

The sum of the two non-adjacent interior angles is 105 degrees.

Tags

CCSS.8.G.A.5

Front

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

Back

The measure of an interior angle can be found by subtracting the exterior angle from 180 degrees.

Tags

CCSS.8.G.A.5

Front

If a triangle has an exterior angle of 94 degrees, what is the measure of the adjacent interior angle?

Back

The adjacent interior angle is 180 - 94 = 86 degrees.

Tags

CCSS.8.G.A.5

Front

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

Back

You can set up equations using the Exterior Angle Theorem, where the exterior angle equals the sum of the two opposite interior angles, and solve for the unknowns.

Tags

CCSS.8.G.A.5

Front

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

Back

The Exterior Angle Theorem provides a relationship that can simplify the process of finding unknown angles in triangle problems.

Tags

CCSS.8.G.A.5