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If m∠3 = (5x+13)° and m∠5 = 53°, solve for the x

Question

If m∠3 = (5x+13)° and m∠5 = 53°, solve for the x

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Solution

The problem states that m∠3 = (5x+13)° and m∠5 = 53°.

Given that these are corresponding angles, they are equal. Therefore, we can set up the equation:

5x + 13 = 53

To solve for x, we first subtract 13 from both sides of the equation:

5x = 53 - 13 5x = 40

Then, we divide both sides by 5:

x = 40 / 5 x = 8

So, the solution is x = 8.

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