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tangare [24]
3 years ago
14

Find the measures of the angles in the figure.

Mathematics
2 answers:
arlik [135]3 years ago
7 0

Answer:60,60,120,120

Step-by-step explanation:All qualdrilaterals equal to 360, so if you add all of the different numbers you should get 360

Vinvika [58]3 years ago
3 0

Answer:

120^o,\,120^o,\,60^o,\,\,\,and\,\,\,60^o

which agrees with the first answer in the list of possible options.

Step-by-step explanation:

We can use the fact that the addition of all four internal angles of a quadrilateral must render 360^o. Then we can create the following equation and solve for the unknown "h":

2h+2h+h+h = 360^o\\6h=360^o\\h=60^o

Therefore the angles of this quadrilateral are:

120^o,\,120^o,\,60^o,\,\,\,and\,\,\,60^o

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-8x + 5y = 26     .................. equation 1

9x - 3y = -3          ................ equation 2

Solving the system of linear equations by elimination method.

The means we have to make the coefficient of one of the variable the same in order to eliminate the variable first.

Let us eliminate the variable y first , this means we will multiply equation 1 by 3 and multiply equation 2 by 5. Doing this , we have

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45x - 15y = -15     ................ equation 4

Now that we have the same coefficient , we have to check their signs , if the have the same signs , we will subtract , that is , if both are having positive signs , we will subtract , if both have negative signs , we will also subtract but if their signs differ we will add. Following this rule and considering the equations above , the coefficients of y have different signs , so we will add equation 3 and equation 4 , so we have:

21x = 63

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Therefore : x = 3 and y = 10

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