+0  
 
+1
705
1
avatar+194 

 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.

 Jun 24, 2018
 #1
avatar+128442 
+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°

 

 

 

cool cool cool

 Jun 24, 2018

6 Online Users

avatar
avatar
avatar
avatar
avatar