Exterior Angles and Remote Interior Angles

Front

What is an exterior angle in a triangle?

Back

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

Tags

CCSS.8.G.A.5

Front

What are remote interior angles?

Back

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

Tags

CCSS.8.G.A.5

Front

If one exterior angle of a triangle measures 109°, what is the sum of the remote interior angles?

Back

The sum of the remote interior angles is equal to the measure of the exterior angle, which is 109°.

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 do you calculate the measure of an exterior angle?

Back

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

Tags

CCSS.8.G.A.5

Front

If angle x is an exterior angle measuring 75°, what are the measures of the remote interior angles?

Back

The sum of the remote interior angles is 75°.

Tags

CCSS.8.G.A.5

Front

What is the measure of angle b if it is a remote interior angle corresponding to an exterior angle of 36°?

Back

Angle b measures 36°.

Tags

CCSS.8.G.A.5

Front

Define corresponding angles in relation to exterior angles.

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a straight line crosses two others. They are equal when the lines are parallel.

Tags

CCSS.8.G.A.5

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180°.

Tags

CCSS.8.G.A.5

Front

If angle d is an exterior angle, what can be said about its measure compared to the interior angles?

Back

Angle d is greater than either of the two remote interior angles.

Tags

CCSS.8.G.A.5