Question

WILL GIVE BRAINLIEST Which relationship is always correct for the angles m, n, and p of triangle ABC?

Answer 1

Answer:

∠m = ∠n + ∠p.

Step-by-step explanation:

The exterior angle of a triangle is always equal to the sum of the two other angles inside a triangle. We can prove this:

Let the third angle in the triangle be ∠q. Therefore:

180 - ∠m = ∠q. (Supplementary angles)

However:

180 - ∠n - ∠p = ∠q. (Sum of interior angles of a triangle)

This means that ∠m and ∠n + ∠q are equal. We can write this as a relationship:

∠m = ∠n + ∠p.