Angle Sum Theorem (Triangle interior and exterior)

Front

What is the Angle Sum Theorem for triangles?

Back

The 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 type of triangle is it?

Back

It is a right triangle.

Front

What is the measure of the third angle if two angles of a triangle are 50 degrees and 60 degrees?

Back

70 degrees (180 - 50 - 60 = 70).

Front

What is the relationship between exterior angles and interior angles of a triangle?

Back

The measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles.

Front

Can a triangle have angles measuring 50 degrees, 60 degrees, and 40 degrees?

Back

No, because the sum is 150 degrees, which is less than 180 degrees.

Front

What is the measure of the missing angle if two angles of a triangle are 30 degrees and 110 degrees?

Back

The missing angle is 40 degrees (180 - 30 - 110 = 40).

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 a triangle has angles measuring 90 degrees, 45 degrees, and x degrees, what is the value of x?

Back

x = 45 degrees (90 + 45 + 45 = 180).

Front

Which set of angles cannot form a triangle: 60, 60, 60 or 50, 60, 40 or 90, 45, 45?

Back

50, 60, 40 cannot form a triangle because their sum is 150 degrees.

Front

What is the measure of an exterior angle if the two opposite interior angles are 38 degrees and 57 degrees?

Back

The exterior angle measures 95 degrees (38 + 57 = 95).