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

What is the sum of the measures of the interior angles of a triangle?

Back

180 degrees.

Tags

CCSS.8.G.A.5

Front

If one interior angle of a triangle is 42 degrees and another is 58 degrees, what is the measure of the third angle?

Back

80 degrees.

Tags

CCSS.8.G.A.5

Front

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

Back

If an exterior angle is represented as 'x', and the two non-adjacent interior angles are 'a' and 'b', the equation is x = a + b.

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 opposite interior angles, not the adjacent one.

Tags

CCSS.8.G.A.5

Front

If an exterior angle measures 112 degrees, what is the sum of the two non-adjacent interior angles?

Back

112 degrees.

Tags

CCSS.8.G.A.5

Front

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

Back

110 degrees.

Tags

CCSS.8.G.A.5

Front

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

Back

Exterior Angle = Interior Angle 1 + Interior Angle 2.

Tags

CCSS.8.G.A.5

Front

If the measures of two interior angles of a triangle are 30 degrees and 50 degrees, what is the measure of the exterior angle adjacent to the 50-degree angle?

Back

80 degrees.

Tags

CCSS.8.G.A.5

Front

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

Back

It helps in finding unknown angles and establishing relationships between angles in a triangle.

Tags

CCSS.8.G.A.5