Two lines l and m intersect at O at an angle of 28˚. Let A be a point inside the acute angle formed by l and m. Let B and C be the reflections of A over lines l and m, respectively. Find the number of degrees in angle BAC.

Confusedperson Jun 24, 2018

#1**+1 **

Since B and C are reflections of A over l and m....then the angle formed by the intersection of AB with l = 90° ....call this intersection point, S....and the angle formed by the intersection of AC with m is also 90°...and call this intersection point , T

So....we have quadrilateral SATO with angle SAT = angle BAC

So....angle SAT = angle BAC = [360 - 90 -90 - 28] = [180 - 28] = 152°

CPhill Jun 24, 2018