Triangle Sum Theorem

Front

What is the Triangle Sum Theorem?

Back

The Triangle 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 30 degrees and another is 70 degrees, what is the measure of the third angle?

Back

The third angle is 80 degrees, calculated as 180 - (30 + 70).

Front

What are the angle measures of a triangle that is classified as equilateral?

Back

In an equilateral triangle, all three angles measure 60 degrees.

Front

Can a triangle have angles measuring 90 degrees, 90 degrees, and 90 degrees?

Back

No, the sum of the angles would be 270 degrees, which does not satisfy the Triangle Sum Theorem.

Front

What is the measure of an angle if the other two angles in the triangle are 45 degrees and 45 degrees?

Back

The measure of the third angle is 90 degrees, calculated as 180 - (45 + 45).

Front

If a triangle has angles measuring 150 degrees and 20 degrees, what is the measure of the third angle?

Back

The third angle measures 10 degrees, calculated as 180 - (150 + 20).

Front

What is the maximum possible measure of an angle in a triangle?

Back

The maximum possible measure of an angle in a triangle is less than 180 degrees.

Front

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

Back

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

Front

What type of triangle has one angle greater than 90 degrees?

Back

A triangle with one angle greater than 90 degrees is called an obtuse triangle.

Front

What is the measure of an angle in a triangle if the other two angles are 66 degrees and 114 degrees?

Back

The measure of the third angle is 0 degrees, which is not possible in a triangle.