Geo2.3 Triangle Sum and Exterior Angles

Front

What is the sum of the interior angles of any triangle?

Back

The sum of the interior angles of any triangle is always 180 degrees.

Front

Define 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.

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.

Front

If two angles of a triangle are 30 degrees and 70 degrees, how do you find the third angle?

Back

Subtract the sum of the two angles from 180 degrees: 180 - (30 + 70) = 80 degrees.

Front

What is the relationship between an exterior angle and the remote interior angles?

Back

The exterior angle is equal to the sum of the two remote interior angles.

Front

How do you set up an equation to find an unknown angle in a triangle?

Back

Set up the equation by adding the known angles and the unknown angle, and set the sum equal to 180 degrees.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

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

Back

The measure of an exterior angle is equal to the sum of the measures of the two remote interior angles.

Front

If one angle of a triangle is 50 degrees and another is 70 degrees, what is the third angle?

Back

The third angle is 60 degrees, calculated as 180 - (50 + 70).

Front

What is the definition of an interior angle?

Back

An interior angle is an angle formed between two sides of a triangle that meet at a vertex.