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Elza [17]
3 years ago
12

Please help me solve this???

Mathematics
1 answer:
JulijaS [17]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

For the triangles to be congruent.

The hypotenuse and a leg of the triangle on the left and the hypotenuse and a leg of the triangle on the right must be congruent, thus

4y = x + 4 → (1)

x = y + 8 → (2)

Substitute x = y + 8 into (1)

4y = y + 8 + 4 = y + 12 ( subtract y from both sides )

3y = 12 ( divide both sides by 3 ) )

y = 4

Substitute y = 4 into (2)

x = 4 + 8 = 12

Thus

x = 12 and y = 4

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Answer:

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Step-by-step explanation:

When two lines cross like that and form an x, the opposite sides are equal (so the angle below the 75 degree one is also 75 degees). Using this, you can figure out the rest.

If both the top an bottom are equal, you know that 150 degres are taken (75+75) and you know that there can only be 360 degres in total here, so you subtract 150 from 360 and get 210. Now you know that the last two sides together are 210, and since they are equal, you divide it by two to get 105 degrees.

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