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What is x and please show work that would help​

What is x and please show work that would help​-example-1

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Explanation:

when there are two lines bisected by a transversal,opposite angles will always be congruent, meaning they will be equal to each other.

think of it like this: if the things in this first picture are true, then we should be able to set certain angles equal to each other to solve fro any variables.

in your case however, we need the other set of angle pairs, the ones equal to 180. {second picture}

so, following those rules,
(23x+3) + (6x+3) = 180\\ [combine like terms to get:]\\ 29x + 6 = 180\\[opposite operations: subtract 6 from both sides.]\\ 29x = 174\\ [opposite operations again: divide both sides by 29 to get final answer.]\\ x=6

What is x and please show work that would help​-example-1
What is x and please show work that would help​-example-2
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User Dollyn
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