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 45° and another is 60°?

Back

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

Front

How do you find a missing angle in a triangle?

Back

Use the Triangle Sum Theorem: subtract the sum of the known angles from 180°.

Front

What is the measure of the missing angle if the known angles are 90° and 40°?

Back

The missing angle is: 180° - (90° + 40°) = 50°.

Front

If one angle of a triangle is 120°, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure for each of the other two angles is 30° each, since 120° + 30° + 30° = 180°.

Front

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

Back

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

Front

If a triangle has angles measuring 30° and 60°, what is the measure of the third angle?

Back

The third angle is: 180° - (30° + 60°) = 90°.

Front

What is the measure of the missing angle if the known angles are 39° and 105°?

Back

The missing angle is: 180° - (39° + 105°) = 36°.

Front

How do you find the value of x in a triangle if two angles are given?

Back

Set up the equation: x + angle1 + angle2 = 180° and solve for x.