Point 15 — Coordinate geometry + geometry

What do we see?

A circle or triangle described with coordinates.

What do we understand?

Draw the figure, then use the relevant properties from geometry.

Question 1 of 5

Triangles PQR and LMN are graphed in the xy-plane. Triangle PQR has vertices P, Q, and R at (4, 5), (4, 7), and (6, 5), respectively. Triangle LMN has vertices L, M, and N at (4, 5), (4, 7 + k), and (6 + k, 5), respectively, where k is a positive constant. If the measure of ∠Q is t°, what is the measure of ∠N?