Triangle Sum Theorem and Exterior Angle Theorem

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

What are the interior angles of a triangle?

Back

The interior angles of a triangle are the angles formed inside the triangle, which add up to 180 degrees.

Tags

CCSS.8.G.A.5

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 remote interior angles.

Tags

CCSS.8.G.A.5

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Tags

CCSS.4.G.A.2

Front

What is the measure of each angle in an equilateral triangle?

Back

Each angle in an equilateral triangle measures 60 degrees.

Tags

CCSS.8.G.A.5

Front

If the angles of a triangle are represented as x, y, and z, what equation represents the Triangle Sum Theorem?

Back

x + y + z = 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is a remote interior angle?

Back

A remote interior angle is an interior angle of a triangle that is not adjacent to a given exterior angle.

Tags

CCSS.8.G.A.5

Front

How do you find the measure of an exterior angle if you know the remote interior angles?

Back

Add the measures of the two remote interior angles together.

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

If one interior angle of a triangle is 40 degrees and another is 60 degrees, what is the third angle?

Back

The third angle is 80 degrees (180 - 40 - 60 = 80).

Tags

CCSS.8.G.A.5