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vovangra [49]
3 years ago
10

Please answer the following:

Mathematics
1 answer:
serg [7]3 years ago
3 0
The sum of all interior angles in a polygon is
180(n - 2), where n = the number of sides in the polygon.

now, notice this figure above, it has 5 sides, namely is a PENTAgon, so the sum of all its interior angles is 180( 5 - 2), or 540, therefore

\bf (4x)~+~(3x+15)~~+~~(4x-25)~~+~~(3x+25)~~+~~(2x-3)=540
\\\\\\
16x+12=540\implies 16x=528\implies x=\cfrac{528}{16}\implies x=33
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Dmitry_Shevchenko [17]
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Answer: \fbox {65}
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