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

Back

The third angle measures 45 degrees, since 180 - (45 + 90) = 45.

Front

What type of angle measures exactly 90 degrees?

Back

A right angle.

Front

If two angles in a triangle measure 62 degrees and 56 degrees, what is the measure of the third angle?

Back

The third angle measures 62 degrees, since 180 - (62 + 56) = 62.

Front

What is the measure of an angle that is complementary to a 47 degree angle?

Back

The complementary angle measures 43 degrees, since 90 - 47 = 43.

Front

What is the measure of an angle that is supplementary to a 50 degree angle?

Back

The supplementary angle measures 130 degrees, since 180 - 50 = 130.

Front

In a triangle, if one angle is obtuse, what can be said about the other two angles?

Back

The other two angles must be acute, as the sum of all angles in a triangle is 180 degrees.

Front

If a triangle has angles measuring 30 degrees and 60 degrees, what is the measure of the third angle?

Back

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

Front

What is the relationship between the angles in an isosceles triangle?

Back

In an isosceles triangle, the two angles opposite the equal sides are equal.

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 180 - (40 + 100) = 40.