Triangles Sum Theorem & Exterior Angle 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 one angle of a triangle is 70° and another is 50°, what is the measure of the third angle?

Back

The third angle is 60° (70° + 50° + 60° = 180°).

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles.

Front

If one angle of a triangle is 40° and another is 60°, what is the measure of the exterior angle adjacent to the 60° angle?

Back

The exterior angle is 100° (40° + 60° = 100°).

Front

Can a triangle have angles measuring 90°, 90°, and 90°?

Back

No, a triangle cannot have angles measuring 90°, 90°, and 90° because the sum would exceed 180°.

Front

What is the measure of the missing angle in a triangle if the other two angles are 30° and 50°?

Back

The missing angle is 100° (30° + 50° + 100° = 180°).

Front

Which set of angles can form a triangle: 30°, 60°, 90° or 100°, 100°, 100°?

Back

The set 30°, 60°, 90° can form a triangle, as their sum is 180°. The other set exceeds 180°.

Front

What is the sum of the angles in any triangle?

Back

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

Front

If a triangle has angles measuring 45° and 45°, what is the measure of the third angle?

Back

The third angle is 90° (45° + 45° + 90° = 180°).

Front

What is the relationship between the angles of a triangle and its exterior angles?

Back

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