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.

Front

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

Back

70 degrees (180 - 50 - 60 = 70).

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of a triangle and the extension of an adjacent side.

Front

According to the Exterior Angle Theorem, how is an exterior angle related to the interior angles?

Back

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

Front

If an exterior angle measures 120 degrees, what is the sum of the two remote interior angles?

Back

120 degrees.

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 angle A is 40 degrees and angle B is 60 degrees in triangle ABC, what is angle C?

Back

80 degrees (180 - 40 - 60 = 80).

Front

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

Back

Corresponding angles are equal.

Front

If angle D is an exterior angle and measures 110 degrees, what are the measures of the remote interior angles if one is 30 degrees?

Back

The other remote interior angle must measure 80 degrees (110 - 30 = 80).

Front

What is the measure of an angle that is supplementary to a 36-degree angle?

Back

144 degrees (180 - 36 = 144).