Question #80b00

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Answer 1 · 2018-02-10T00:08:03

Measure of angle $L ˆ O M = 48^{0}$ $LhatOM = 48^0$

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

1) Combine like terms

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

 #13x - 80= 180#

2) Add $80$ $color(blue)(80)$ to both sides

$(13x) - cancel80 color(blue)(+ cancel80) = 180 color(blue)(+ 80) = 260$

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 $LhatOM = 48^0$