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

Back

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

Front

How do you find the measure of a missing angle in a triangle?

Back

To find a missing angle in a triangle, subtract the sum of the known angles from 180 degrees.

Front

What is the formula to calculate 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 opposite interior angles.

Front

If two angles of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.

Front

What is the relationship between the angles in a right triangle?

Back

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

Front

How can you determine if three lengths can form a triangle?

Back

The lengths must satisfy the triangle inequality theorem: the sum of the lengths of any two sides must be greater than the length of the third side.

Front

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

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

What is the difference between acute, obtuse, and right triangles?

Back

An acute triangle has all angles less than 90 degrees, an obtuse triangle has one angle greater than 90 degrees, and a right triangle has one angle equal to 90 degrees.

Front

How do you solve for an unknown angle in a triangle when given the other two angles?

Back

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