Respuesta :

Start by finding the value of y...

Since ( 3y + 5) and 85 are same side interior angles means the sum of this should be 180 degrees....

To find y:

3y + 5 + 85 = 180

Combine like terms....

3y + 90 = 180

Subtract 90 from both sides...

3y = 90

Divide both sides by 3 to get y by its self....

y = 30


To find x :

Both ( 3y + 5) and ( 2 x + 1) form a linear pair which means they are supplementary to each other..

Plug in the value of y and solve for x....

3(30) + 5 + 2x + 1 = 180

90 + 5 + 2x + 1 = 180

Combine like terms...

2x + 96 = 180


Subtract 96 from both sides...

2x = 84

Divide both sides by 2 to get x by its self...

x = 42 

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