Question

Can someone help me with this question

Answer 1

x = 24

Explanation:

We know that the 2 angles will add up to 180, so we can make an equation adding the two together to equal 180, then solve it from there.

(4x - 2) + (3x + 14) = 180

We can remove the parenthesis and combine like terms.

4x - 2 + 3x + 14

7x + 12 = 180

Now, subtract both sides by 12 to remove the 7x alone.

7x = 168

Lastly, divide both sides by 7 to find x.

x = 24

Hope this helps!

Answer 2

x = 24

Explanation:

4x - 2 and 3x + 14 are a linear pair and sum to 180°

sum the 2 angles and equate to 180, solving for x

4x - 2 + 3x + 14 = 180 (simplify left side )

7x + 12 = 180 ( subtract 12 from both sides )

7x + 12 - 12 = 180 - 12 ( simplify both sides )

7x = 168 ( divide both sides by 7 )

`(7)/(7)` x =
`(168)/(7)` , that is

x = 24