Triangle Sum Theorem 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 two angles in a triangle are 45° and 75°, what is the measure of the third angle?

Back

60°

Front

Which equation would solve for x in the context of triangle angles?

Back

x + 51 + 47 = 180

Front

What is the value of x if x + 51 + 47 = 180?

Back

x = 82

Front

What does the Exterior Angle Theorem state?

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 opposite interior angles.

Front

If one angle of a triangle is 80° and another is 40°, what is the measure of the exterior angle adjacent to the 40° angle?

Back

120°

Front

How do you find the measure of an angle in a triangle if you know the other two angles?

Back

Subtract the sum of the known angles from 180°.

Front

What is the measure of an angle if the other two angles are 51° and 47°?

Back

82°

Front

If an exterior angle measures 130°, what are the measures of the two opposite interior angles?

Back

The sum of the two opposite interior angles is 130°.

Front

What is the formula to find the third angle in a triangle?

Back

Third angle = 180° - (first angle + second angle)