Question 780005

Please help me solve this:
If four times the supplement of an angle is added to eight times the angle's complement, the sum is equivalent to three straight angles. Find the measure of the angle that is supplementary to the complement.


Let angle's measurement be A


Then: 4(180 - A) + 8(90 - A) = 3(180)


720 - 4A + 720 - 8A = 540


- 4A - 8A + 1,440 = 540


- 12A = 540 - 1,440


-12A = - 900


A, or angle's measurement = {{{(- 900)/- 12}}}, or {{{75^o}}}


This {{{75^o}}} angle's complement is {{{15^o}}}, and the supplement to THIS complement is {{{highlight_green(165^o)}}}


You can do the check!! 


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