# You don't know what the lines are, but can you find the angle between them?

Geometry Level 5

A point $$P$$, starting at $$(2,6)$$, was reflected across line $$m$$ in the $$(x,y)$$ plane to produce point $$P^\prime$$.

$$P^\prime$$ was then reflected across line $$n$$ in the $$(x,y)$$ plane to produce point $$P^{\prime\prime}$$ at $$(6,4)$$.

If the lines $$m$$ and $$n$$ intersect at the point $$(2,1)$$, what is the angle, in degrees, that these lines form at their intersection?

Your answer should be less than 90 degrees, and correct to 1 decimal place.

×