Triangle Sum Theorem Flashcard

Front

What does the Triangle Sum Theorem state?

Back

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

Front

If one angle of a triangle is 95° and another is 85°, what is the measure of the third angle?

Back

The third angle is 180° - 95° - 85° = 0°, which is not possible. Therefore, the angles cannot form a triangle.

Front

Which set of angles does NOT create a triangle?

Back

The angles 50°, 60°, and 40° do NOT create a triangle because their sum is 150°, which is less than 180°.

Front

What is the measure of angle B if angle A is 56° and angle C is 62°?

Back

Angle B = 180° - 56° - 62° = 62°.

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 two angles of a triangle are 70° and 50°, what is the measure of the third angle?

Back

The third angle is 180° - 70° - 50° = 60°.

Front

What is the definition of an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90°.

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90°.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle equal to 90°.

Front

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

Back

It is a right triangle because it has one angle equal to 90°.