How do you solve #104= 1/ 2[( 360- x ) - x ]#?

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Answer 1 · 2017-06-24T16:35:24

#color(blue)(x=76#

#104=1/2[(360-x)-x]#

#:.104=1/2[360-x-x]#

#:.104=1/2[360-2x]#

#:.104=180-x#

#:.180-x=104#

#:.-x=104-180#

#:.-x=76#

#:.color(blue)(x=76#

Check:

Substitute #color(blue)(x=76#

#:.104=1/2[(360-(color(blue)76))-(color(blue)76)]#

#:.104=1/2[(284)-76]#

#:.104=1/2[284-76]#

#:.104=1/2[208]#

#:.104=208/2#

#:.color(blue)(104=104#