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 two angles of a triangle are 45 degrees and 55 degrees, what is the measure of the third angle?

Back

The third angle is 80 degrees (180 - 45 - 55 = 80).

Front

What is the measure of an angle in a triangle if the other two angles are 70 degrees and 40 degrees?

Back

The measure of the angle is 70 degrees (180 - 70 - 40 = 70).

Front

Find x if the angles of a triangle are x, 75 degrees, and 45 degrees.

Back

x = 60 degrees (180 - 75 - 45 = 60).

Front

What is the measure of the third angle if two angles of a triangle are 34 degrees and 38 degrees?

Back

The third angle is 108 degrees (180 - 34 - 38 = 108).

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

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 30 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle is 90 degrees (180 - 30 - 60 = 90).

Front

What is the measure of an angle in a triangle if the other two angles are 50 degrees and 80 degrees?

Back

The measure of the angle is 50 degrees (180 - 50 - 80 = 50).

Front

Find the missing angle if the angles of a triangle are 34 degrees, 46 degrees, and x degrees.

Back

x = 100 degrees (180 - 34 - 46 = 100).