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Feb 10, 2018

Answer:

Measure of angle #LhatOM = 48^0#

Explanation:

#7x-92+6x+12=180#

1) Combine like terms
#7x - 92 + 6x + 12 =180#

 #13x - 80= 180#

2) Add 80 to both sides

#(13x) - cancel80 + cancel80 = 180 + 80 = 260#

3) Divide both sides by 13

#cancel(13x)^color(red)x / cancel13 = cancel(260)^color(red)20 / cancel13#

4) Plug x= 20 into the expression

#7* (20 ) - 92 = 140 - 92 = 48#

5) Solution: Measure of angle #LhatOM = 48^0#

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