Question

Question #80b00

Answer 1

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 `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`