Triangle Angle Sum

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 measures 60 degrees and another measures 70 degrees, what is the measure of the third angle?

Back

The third angle measures 50 degrees, calculated as 180 - (60 + 70).

Front

What is the formula to find the measure of an unknown angle in a triangle?

Back

To find an unknown angle in a triangle, use the formula: Unknown Angle = 180 - (Sum of the other two angles).

Front

How do you determine if a triangle is valid based on its angles?

Back

A triangle is valid if the sum of its angles equals 180 degrees and each angle is greater than 0 degrees.

Front

What is the relationship between the angles in an isosceles triangle?

Back

In an isosceles triangle, the angles opposite the equal sides are also equal.

Front

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

Back

In an equilateral triangle, each angle measures 60 degrees.

Front

How can you find the measure of an exterior angle of a triangle?

Back

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

What is the significance of the angle sum property in solving triangle problems?

Back

The angle sum property helps in finding missing angles and verifying the correctness of angle measures in triangle problems.

Front

If two angles of a triangle are known, how can you find the third angle?

Back

Subtract the sum of the known angles from 180 degrees to find the third angle.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.