+0  
 
+1
107
2
avatar+103 

Determine the value of x.

 

 Dec 10, 2019
 #1
avatar+21725 
0

First find the angle next to 123     123 + angle1 = 180

   then fin the ngle next to 114       114 + angle2= 180

 

Now you can compute the third angle in the bottom tringle

  Angle 3 = 180 - angle 2 - angle 1

 

this will also be the bottom angle in the right triangle

 then the other angle in the right triangle will be   180 - 90 - angle 3

   this will also be the angle in the bottom of the TOP triangle

     the other two angles in the top triangle are = (and this includes 'x')

               so subtract this bottom angle from 180    and divide by 2 to find 'x'       Give it a try ! cheeky

 Dec 10, 2019
 #2
avatar+109064 
+1

The angle supplemental to 114    =   66

The angle supplemental to 123  =  57

The apex angle in the top triangle  = 180 - 66 - 57   =  57°  = the "bottom" angle in the middle triangle

 

So.....the other missing angle  in the middle triangle  = 90 - 57 =  33°

 

So

 

2x  +  33  = 180

2x =  147

x =  147/2   = 73.5°

 

 

cool cool cool

 Dec 10, 2019

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