Triangle Angle Sum: Interior Angles

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 degrees.

Front

If two angles in a triangle are 45° and 75°, how do you find the third angle?

Back

To find the third angle, subtract the sum of the two known angles from 180°. So, 180° - (45° + 75°) = 60°.

Front

What is the measure of the third angle in a triangle if the other two angles are 100° and 50°?

Back

The third angle is 30°, calculated by 180° - (100° + 50°).

Front

What sets of angles can form a triangle?

Back

A set of angles can form a triangle if their sum is exactly 180°.

Front

Can a triangle be formed with angles measuring 45°, 65°, and 70°?

Back

Yes, because 45° + 65° + 70° = 180°.

Front

What is the measure of each angle in an equilateral triangle?

Back

In an equilateral triangle, each angle measures 60°.

Front

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

Back

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

Front

How do you determine if a set of angles can form a triangle?

Back

Add the angles together; if the sum is 180°, they can form a triangle.

Front

What is the measure of the angles in a triangle if one angle is 25° and the other is 75°?

Back

The third angle measures 80°, calculated by 180° - (25° + 75°).

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°.