Exterior Angles of Triangles

Front

What is an exterior angle of a triangle?

Back

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side. It is equal to the sum of the two opposite interior angles.

Tags

CCSS.8.G.A.5

Front

How do you calculate the measure of an exterior angle?

Back

The measure of an exterior angle can be calculated by adding the measures of the two remote interior angles.

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, and it is supplementary to the adjacent interior angle.

Tags

CCSS.8.G.A.5

Front

What are remote interior angles?

Back

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

Tags

CCSS.8.G.A.5

Front

If one interior angle of a triangle is 40° and another is 60°, what is the measure of the exterior angle adjacent to the 60° angle?

Back

The exterior angle is 40° + 60° = 100°.

Tags

CCSS.8.G.A.5

Front

What is the sum of the exterior angles of any polygon?

Back

The sum of the exterior angles of any polygon is always 360°.

Front

How can you find a missing angle in a triangle using exterior angles?

Back

You can find a missing angle by using the property that the exterior angle is equal to the sum of the two remote interior angles.

Tags

CCSS.8.G.A.5

Front

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

Back

The formula is: Exterior Angle = Remote Interior Angle 1 + Remote Interior Angle 2.

Tags

CCSS.8.G.A.5

Front

Can an exterior angle be greater than 180°?

Back

No, an exterior angle of a triangle cannot be greater than 180°.

Tags

CCSS.8.G.A.5

Front

What is the significance of exterior angles in triangle properties?

Back

Exterior angles help in understanding the relationships between angles in triangles and are useful in solving for unknown angles.

Tags

CCSS.8.G.A.5