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In the diagram below, A is on line segment CE and AB bisects Angle DAC. If segment DA is parallel to segment EF and angle AEF = 10angleBAC - 22 degrees, then what is angle DAC in degrees?

 

 Jul 1, 2021
 #1
avatar+121047 
+2

Extend  F  thru  E   to   G

 

Angle   GEC   is supplemental  to  angle AEF

So    GEC  =   180 - ( 10BAC  - 22)   =    202  - 10BAC  =  angle DAC

And  BAC  = (1/2)DAC

 

So

 

202 -  10 (1/2)DAC  =  DAC

 

202  -  5DAC   =  DAC

 

202  =   6DAC

 

DAC  =   202  / 6   ≈  33.66° 

 

 

cool cool cool     

 Jul 1, 2021
 #2
avatar+1540 
0

Oops!!! I made boo-boocheeky

jugoslav  Jul 1, 2021
edited by jugoslav  Jul 1, 2021
edited by jugoslav  Jul 1, 2021
edited by jugoslav  Jul 2, 2021

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