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Mathematics

1 answer:

SCORPION-xisa [38]4 years ago

8 0

Answer:

Step-by-step explanation:

Fist let's have a look :

(AB) is parallel with (CD) and there is a line crossing them both.

Now the first question : What is the size x ?

We notice that x and 53° are vertically opposite so they are corresponding angles
so the size of x is 53°

The second question : what is the size of y ?

We notice that y and 53° are alternate angles
so they are corresponding angles with same size
y=53°

The trick is to khow the situation where we have corresponding angles

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Answer:

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Step-by-step explanation:

You would first make an equation with what you know:

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Now, you would simplify and add like terms.

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Now, you would subtract 110 from both sides.

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Now, you would divide both sides by 3.

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Now that you know what x is, simply plug it in to the respective equations for all three sides.

x + 45 would become 80 + 45, and add up to 125.

x + 25 would become 80 + 25, and add up to 105.

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To check your work, you would now add the three totals.

125 + 105 + 120 = 350.

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