T.A.S.T. (Triangle Angle Sum Theorem)

Front

What is the Triangle Angle Sum Theorem (T.A.S.T.)?

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

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

Back

To find an unknown angle, subtract the sum of the known angles from 180 degrees.

Front

If two angles of a triangle are 45 degrees each, what is the measure of the third angle?

Back

The third angle is 90 degrees, since 45 + 45 + 90 = 180.

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

Each angle in an equilateral triangle measures 60 degrees.

Front

If the angles of a triangle are represented as x, y, and z, what equation represents the Triangle Angle Sum Theorem?

Back

The equation is x + y + z = 180 degrees.

Front

What is the measure of an angle if the other two angles in a triangle are 70 degrees and 50 degrees?

Back

The measure of the unknown angle is 60 degrees, since 70 + 50 + 60 = 180.

Front

In a triangle, if one angle measures 120 degrees, what can you say about the other two angles?

Back

The other two angles must each be less than 60 degrees, since their sum must equal 60 degrees.

Front

What type of triangle has all angles less than 90 degrees?

Back

A triangle with all angles less than 90 degrees is called an acute triangle.