Triangle Angle Sum Theorem

Front

What is the Triangle Angle Sum Theorem?

Back

The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180°.

Front

If one angle of a triangle measures 90°, what can you say about the other two angles?

Back

The other two angles must be acute (less than 90°) and their sum must equal 90°.

Front

Solve for x: x + 45° + 55° = 180°

Back

x = 80°.

Front

What is the measure of the third angle in a triangle if the other two angles measure 50° and 60°?

Back

The third angle measures 70°.

Front

Can a triangle have one angle measuring 120°?

Back

No, a triangle cannot have an angle measuring 120° because the sum of the other two angles would be less than 60°, which is not possible.

Front

If a triangle has angles measuring 30°, 60°, and x°, what is the value of x?

Back

x = 90°.

Front

What is the maximum possible measure of an angle in a triangle?

Back

The maximum possible measure of an angle in a triangle is less than 180°.

Front

Given angles of 70°, 50°, and x°, find x.

Back

x = 60°.

Front

Which of the following sets of angles can form a triangle: 30°, 30°, 120° or 40°, 50°, 90°?

Back

40°, 50°, 90° can form a triangle.

Front

If two angles of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.