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 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

The formula is: 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 is exactly 180 degrees.

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 measure of each angle in an isosceles triangle if the two equal angles are 45 degrees?

Back

The third angle measures 90 degrees, calculated as 180 - (45 + 45).

Front

If a triangle has angles measuring 30 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle measures 90 degrees, calculated as 180 - (30 + 60).

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 find the value of x in a triangle if given two angles?

Back

You can find x by using the Triangle Angle Sum Theorem: x = 180 - (sum of the given angles).

Front

What is the measure of the angles in a triangle if one angle is 45 degrees and the other is 45 degrees?

Back

The third angle measures 90 degrees, calculated as 180 - (45 + 45).