Triangle Sum Theorem Practice

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 is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

What are the three types of angles based on their measures?

Back

Acute angles (less than 90 degrees), right angles (exactly 90 degrees), and obtuse angles (greater than 90 degrees but less than 180 degrees).

Front

If two angles of a triangle are 30 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle is 90 degrees, since 30 + 60 + 90 = 180.

Front

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

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

How do you find the measure of a missing angle in a triangle?

Back

Subtract the sum of the known angles from 180 degrees.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are acute (less than 90 degrees).

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle that is obtuse (greater than 90 degrees).

Front

If one angle of a triangle is 45 degrees and another is 45 degrees, what is the measure of the third angle?

Back

The third angle is 90 degrees, since 45 + 45 + 90 = 180.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle is 90 degrees, and the sum of the other two angles is 90 degrees.