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 90 degrees and another is 45 degrees, what is the measure of the third angle?

Back

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

Front

In a triangle, if two angles measure 30 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle measures 90 degrees, since 30 + 60 + 90 = 180.

Front

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

Back

The missing angle is 60 degrees, since 70 + 50 + 60 = 180.

Front

In a triangle, if one angle measures 120 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 30 degrees each, since 120 + 30 + 30 = 180.

Front

If a triangle has angles measuring 40 degrees and 100 degrees, what is the measure of the third angle?

Back

The third angle measures 40 degrees, since 40 + 100 + 40 = 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 equal.

Front

If a triangle has angles measuring 80 degrees and 50 degrees, what is the measure of the third angle?

Back

The third angle measures 50 degrees, since 80 + 50 + 50 = 180.

Front

In a right triangle, if one angle is 30 degrees, what is the measure of the other non-right angle?

Back

The other non-right angle measures 60 degrees, since 30 + 60 + 90 = 180.

Front

What is the measure of the missing angle in a triangle with angles measuring 45 degrees and 45 degrees?

Back

The missing angle measures 90 degrees, since 45 + 45 + 90 = 180.