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 70° and 50°, what is the measure of the third angle?

Back

The third angle is 60° (70° + 50° + x = 180°, so x = 180° - 120° = 60°).

Front

What are the three types of triangles based on angle measures?

Back

1. Acute Triangle: All angles are less than 90°. 2. Right Triangle: One angle is exactly 90°. 3. Obtuse Triangle: One angle is greater than 90°.

Front

Can a triangle have two right angles?

Back

No, a triangle cannot have two right angles because the sum of the angles would exceed 180°.

Front

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

Back

Each angle in an equilateral triangle measures 60°.

Front

If one angle of a triangle is 90° and another is 45°, what is the measure of the third angle?

Back

The third angle is 45° (90° + 45° + x = 180°, so x = 180° - 135° = 45°).

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

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

Back

x = 90° (30° + 60° + x = 180°, so x = 180° - 90° = 90°).

Front

What is the minimum angle measure in a triangle?

Back

The minimum angle measure in a triangle is greater than 0°.

Front

If a triangle has angles measuring 150°, 20°, and x°, what is the value of x?

Back

x = 10° (150° + 20° + x = 180°, so x = 180° - 170° = 10°).