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.
