T.A.S.T. (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 is 90 degrees, what can you say about the other two angles?

Back

The other two angles must sum to 90 degrees, making the triangle a right triangle.

Front

What is the formula to find the third angle in a triangle if two angles are known?

Back

The formula is: Third Angle = 180 - (Angle 1 + Angle 2).

Front

In a triangle, if one angle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle?

Back

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

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of the triangle and the extension of an adjacent side.

Front

How is the exterior angle related to the interior angles of a triangle?

Back

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

Front

If an exterior angle of a triangle measures 120 degrees, what is the sum of the two opposite interior angles?

Back

The sum of the two opposite interior angles is 120 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

If a triangle has angles measuring 40 degrees and 40 degrees, what is the measure of the third angle?

Back

The third angle measures 100 degrees (180 - (40 + 40)).

Front

What is the sum of the angles in a triangle with one angle measuring 30 degrees and another measuring 80 degrees?

Back

The sum of the angles is 180 degrees, so the third angle measures 70 degrees (180 - (30 + 80)).