Triangle Sum 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.

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 remote interior angles.

Front

Define remote interior angles in relation to an exterior angle.

Back

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

Front

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

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

What type of angle is formed when two lines intersect at a right angle?

Back

A right angle, which measures exactly 90 degrees.

Front

If one angle of a triangle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle?

Back

The third angle measures 70 degrees, calculated using the Triangle Sum Theorem: 180 - (50 + 60) = 70.

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.

Front

What is the measure of an angle that is supplementary to a 117 degree angle?

Back

The supplementary angle measures 63 degrees, calculated as 180 - 117 = 63.

Front

What is the definition of an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.

Front

What is the definition of an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.