Question

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

Answer 1

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

Answer 2

will a drawing help

Answer 3

yes

Answer 4

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".