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 two angles of a triangle are 56° and 37°, how do you find the third angle?

Back

Subtract the sum of the two angles from 180°: 180° - (56° + 37°) = 87°.

Front

What is the measure of the third angle in a triangle if one angle is 81° and another is 37°?

Back

The third angle is found by: 180° - (81° + 37°) = 62°.

Front

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

Back

Use the Triangle Sum Theorem: 180° - (sum of known angles) = unknown angle.

Front

What is the measure of an angle if the other two angles in the triangle are 90° and 82°?

Back

The measure of the angle is: 180° - (90° + 82°) = 8°.

Front

If one angle of a triangle is 45° and another is 75°, what is the third angle?

Back

The third angle is: 180° - (45° + 75°) = 60°.

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

How can you verify if three angles can form a triangle?

Back

Check if the sum of the three angles equals 180°.

Front

What is the measure of an angle if the other two angles are 98° and 82°?

Back

The measure of the angle is: 180° - (98° + 82°) = 0° (not a valid triangle).

Front

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

Back

x = 180° - (30° + 60°) = 90°.