Triangle Angle Sum Theorem

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

Back

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

Front

What are the measures of the angles in an equilateral triangle?

Back

In an equilateral triangle, all three angles are equal and each measures 60°.

Front

Can a triangle have two obtuse angles?

Back

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

Front

What is the measure of each angle in a right triangle?

Back

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

Front

If the angles of a triangle are 45°, 45°, and x°, what is the value of x?

Back

x = 90° (45° + 45° + x = 180°).

Front

What is the relationship between the angles in a triangle and the exterior angle?

Back

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Front

If a triangle has angles measuring 30°, 60°, and 90°, what type of triangle is it?

Back

It is a right triangle.

Front

What is the minimum angle measure in a triangle?

Back

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

Front

If the angles of a triangle are 70°, 50°, and x°, what is the value of x?

Back

x = 60° (70° + 50° + x = 180°).