If the exterior angle of a triangle is 120 degrees, what is the measure of the s

If the exterior angle of a triangle is 120 degrees, what is the measure of the smallest interior angle?

If the exterior angle of a triangle is 120 degrees, what is the measure of the smallest interior angle?

Step 1: Understand that an exterior angle of a triangle is formed when one side of the triangle is extended.
Step 2: Remember that the exterior angle is equal to the sum of the two opposite interior angles.
Step 3: In this case, the exterior angle is given as 120 degrees.
Step 4: To find the sum of the two opposite interior angles, we can use the formula: Sum of opposite interior angles = Exterior angle.
Step 5: Therefore, the sum of the two opposite interior angles is 120 degrees.
Step 6: The interior angles of a triangle always add up to 180 degrees.
Step 7: To find the smallest interior angle, we can subtract the sum of the two opposite angles from 180 degrees: 180 - 120 = 60 degrees.
Step 8: Thus, the smallest interior angle is 60 degrees.

No concepts available.