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Can someone help me with this question

Can someone help me with this question-example-1
User Paolo
by
7.6k points

2 Answers

3 votes

Answer:

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!

User Andorov
by
8.9k points
7 votes

Answer:

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

User Ernesto Ruiz
by
9.3k points

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