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Solve for x.

 

 Mar 9, 2021
 #1
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We can see 180-(3x-22) is the angle in the triangle, this results in 180+22-3x= 202-3x, we add the three angles giving 202-3x+x+80=180,

282-2x=180

-2x=-102

x=61

 Mar 9, 2021
 #2
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+1

By Linear pair property, 

angle adjacent to (3x-22) = 180 - 3x + 22

                                         = 202 - 3x

By Angle sum property of triangles,

202 - 3x + x + 80 = 180

⇒282 -2x = 180

⇒2x         = 282 - 180

⇒ 2x         = 102

      x         = 51º

 Mar 9, 2021
 #3
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3x - 22 = 80 + x

 

2x = 102

 

x = 51

 Mar 9, 2021

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