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 45° and another measures 60°, how do you find the third angle?

Back

Subtract the sum of the known angles from 180°: 180° - (45° + 60°) = 75°.

Front

What is the measure of the third angle in a triangle if the other two angles are 22° and 33°?

Back

The third angle is 180° - (22° + 33°) = 125°.

Front

How do you find the value of an unknown angle in a triangle?

Back

Use the Triangle Sum Theorem: set up the equation with the known angles and solve for the unknown angle.

Front

If a triangle has angles measuring 56°, 62°, and x°, what is the value of x?

Back

x = 180° - (56° + 62°) = 62°.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

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

Back

It is a right triangle.

Front

What is the measure of an angle if the other two angles in a triangle are 75° and 45°?

Back

The measure of the angle is 180° - (75° + 45°) = 60°.

Front

If a triangle has angles measuring 45°, 45°, and x°, what is the value of x?

Back

x = 180° - (45° + 45°) = 90°.

Front

What is the measure of the third angle in a triangle if the first two angles are 30° and 120°?

Back

The third angle is 180° - (30° + 120°) = 30°.