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2 years ago

I need help with this problem in the image. Please.

Mathematics

1 answer:

Alja [10]2 years ago

3 0

Answer:

Step-by-step explanation:

6x+7+35=180 because those angles are next to each other and therefore add up to 180

7+35=42

6x+42=180

We now have to solve for x and to do that we get it by itself by subtracting 42 from each side

180-42=138

x is now by itself and we can solve for it

6x=138

138/6=23

x=23

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First of all, we know that a line is 180°. This means if we add the angles of 61°, 57°, and angle y, we should get 180°.

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$\sf 118\textdegree +y=180\textdegree$

Subtract 118° to both sides:

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We also know that all three angles of a triangle add up to 180°. So we have:

$\sf 67\textdegree+62\textdegree +x=180\textdegree$

Simplify:

$\sf 129\textdegree +x=180\textdegree$

Subtract 129° to both sides:

$\sf x=\boxed{\sf 51\textdegree}$

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