Triangle Angle Sum Theorem

Front

What does the Triangle Angle Sum Theorem state?

Back

The Triangle Angle Sum Theorem states that the sum of all angles in a triangle is 180°.

Front

If one angle of a triangle is 34° and another is 46°, what is the measure of the third angle?

Back

The third angle is 100° (180° - 34° - 46°).

Front

Can a triangle be formed with angles measuring 150°, 110°, and 100°?

Back

No, because the sum of these angles is 360°, which exceeds 180°.

Front

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

Back

Each angle in an equilateral triangle measures 60°.

Front

If two angles of a triangle are 25° and 55°, what is the measure of the third angle?

Back

The third angle is 100° (180° - 25° - 55°).

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°.

Front

If a triangle has angles measuring 90°, 45°, and x°, what is the value of x?

Back

x = 45° (90° + 45° + 45° = 180°).

Front

Which set of angles can form a triangle: 90°, 90°, 90° or 45°, 65°, 70°?

Back

The set 45°, 65°, 70° can form a triangle.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180°.

Front

If one angle of a triangle is 62° and the other is 36°, what is the measure of the third angle?

Back

The third angle is 82° (180° - 62° - 36°).