Question

Your friend claims the measure of an exterior angle will always be greater than the sum of the nonadjacent interior angles measures. Is your friend correct> Explain your reasonings. ​

Answer 1

your friend is wrong

Explanation:

There is a theorem in geometry called the Exterior Angle Theorem which was developed by Euclid (Greek mathematician that lived in Alexandria around 300 B.C.) that states that the exterior angle of a triangle will always equal the sum of the 2 nonadjacent interior angles.

If you look at the attached image, °d = °a + °c