Triangle sum and Exterior Angle 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, what are the measures of the other two angles?

Back

The other two angles must sum to 90 degrees, as the total must equal 180 degrees.

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

Calculate the measure of angle A if angle B is 60 degrees and angle C is 50 degrees.

Back

Angle A = 180 - (60 + 50) = 70 degrees.

Front

What is the measure of an exterior angle if the two non-adjacent interior angles are 40 degrees and 50 degrees?

Back

The exterior angle = 40 + 50 = 90 degrees.

Front

If angle 1 is 27 degrees, what is the measure of angle 2 if angle 1 and angle 2 are complementary?

Back

Angle 2 = 90 - 27 = 63 degrees.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle is 90 degrees, and the sum of the other two angles is 90 degrees.

Front

If angle A is 45 degrees and angle B is 45 degrees, what is angle C in triangle ABC?

Back

Angle C = 180 - (45 + 45) = 90 degrees.

Front

What is the measure of an angle if its exterior angle is 120 degrees?

Back

The interior angle = 180 - 120 = 60 degrees.

Front

If angle 1 is 24 degrees and angle 2 is 79 degrees, what is angle 3 in triangle ABC?

Back

Angle 3 = 180 - (24 + 79) = 77 degrees.