Question 1117057
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<pre>
The sum of interior angles of a hexagon is  (6-2)*180° = 4*180° = 720°.


    Because the sum of interior angles of ANY n-sided polygon is (n-2)*180°.


In your case it means that 


    x + x + x + 115 + 85 + 130 = 720 degrees,   or

    3x +  330 = 720

    3x = 720 - 330 = 390  ====>  x = {{{390/3}}} = 130°.


<U>Answer</U>.  The measure of each of the three congruent angles is 130°.
</pre>

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In this site, there is a bunch of lessons with solved problems on angles of triangles, parallelograms, quadrilaterals and polygons


&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Points-lines-and-rays/Solved-problems-on-angles-of-a-triangle.lesson>Solved problems on angles of a triangle</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Points-lines-and-rays/Solved-problems-on-angles-of-a-parallelogram.lesson>Solved problems on angles of a parallelogram</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Points-lines-and-rays/Solved-problems-on-angles-of-a-quadrilateral.lesson>Solved problems on angles of a quadrilateral</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Points-lines-and-rays/Solved-problems-on-angles-of-a-polygon.lesson>Solved problems on angles of a polygon</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Points-lines-and-rays/Solved-problems-on-missed-angle-of-a-polygon.lesson>Solved problems on missed angle of a polygon</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Points-lines-and-rays/Solved-problems-on-angles-of-a-regular-polygon.lesson>Solved problems on angles of a regular polygon</A>


Read them and become an expert in the area.


Also, &nbsp;you have this free of charge online textbook on Geometry

&nbsp;&nbsp;&nbsp;&nbsp;<A HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A> 

in this site.


The referred lessons are the part of this online textbook under the topic &nbsp;"<U>Finding angles of triangles, parallelograms and rectangles</U>".



Save the link to this online textbook together with its description


Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson


to your archive and use it when it is needed.