Question

Find the value of x for which a || b.

Answer 1

Answer and Step-by-step explanation:

To solve for x, we add together the angles, and equal it to 180.

This is because the angles shown are same side interior angles, and add up to 180 degrees.

x + 3x + 40 = 180

Subtract 40 and combine like terms.

4x = 140

Divide 4 from both sides of the equation.

x =
`35`

The value of x is 35.

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Answer 2

x = 35

Explanation:

x and 3x+40 are same side interior angles and same side interior angles are supplementary when the lines are parallel

x + 3x+40 = 180

Combine like terms

4x+40 =180

4x = 180-40

4x = 140

Divide by 4

4x/4 = 140/4

x = 35