Triangle Sum 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 30°, what is the sum of the other two angles?

Back

The sum of the other two angles is 150°.

Front

A triangle has angles measuring 45° and 60°. What is the measure of the third angle?

Back

The third angle measures 75°.

Front

What is the measure of the missing angle if two angles of a triangle are 56° and 37°?

Back

The missing angle measures 87°.

Front

Can a triangle be formed with angles measuring 150°, 110°, and 100°?

Back

No, because the sum of these angles is 360°, which exceeds 180°.

Front

What is the measure of the third angle in a triangle if the first two angles are 90° and 90°?

Back

This is not possible, as the sum exceeds 180°.

Front

What is the maximum degree measure for an angle in a triangle?

Back

The maximum degree measure for an angle in a triangle is less than 180°.

Front

If a triangle has angles measuring 50°, 50°, and x°, what is the value of x?

Back

x = 80°.

Front

What is the relationship between the angles of a triangle?

Back

The angles of a triangle are related such that their sum is always 180°.

Front

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

Back

It is a right triangle.