Question

1. Solve for x.
(4x + 1)º
47°

Answer 1

The value of x is:

x = 33

Work/explanation:

The two angles form a linear pair, which means they add to
`\sf{180^o}`.

Because they add up to 180, we can set up an equation to find x.

`\sf{4x+1+47=180}`

Combine like terms on the left side

`\sf{4x+48=180}`

Subtract 48 on each side

`\sf{4x=132}`

Divide each side by 4

`\sf{x=33}`

Hence, x = 33.

Answer 2

x = 33

Explanation:

(4x + 1)° and 47° lie on a straight line and sum to 180° , that is

4x + 1 + 47 = 180

4x + 48 = 180 ( subtract 48 from both sides )

4x = 132 ( divide both sides by 4 )

x = 33