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- anonymous

what is the measurement of each base angle ? (6x+8) (9x-25)

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- anonymous

what is the measurement of each base angle ? (6x+8) (9x-25)

- schrodinger

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- Owlcoffee

We need a diagram or some more information about to angles, in order to relate them.

- anonymous

will a drawing help

- Owlcoffee

yes

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- anonymous

|dw:1433861671509:dw|

- Owlcoffee

Okay, so we have what is called an "isoceles triangle" because it has two sides that are equal.
This means that the angles on the base of triangle must be equal.
This is a property of an isoceles triangle wich you have to know.
So, applying that propety we can make both angles equal:
\[6x+8=9x-25\]
Now, you can see we have created a single variable equation, and by now you should be able to solve these, so I won't go into details.
all we do is take all the numbers with an "x" to one side of the "=" sign and the constants to the other, then operate:
\[-3x=-33\]
then it's just a matter of dividing both sides by "-3":
\[x=\frac{ -33 }{ -3 }\]
and as a result:
\[x=11\]
Now, in order to finish the exercise you have to take the angles and plug in "11" instead of "x".

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