SOLUTION: A hexagon has three equal angles. The other three angles are 115,85 and 130. What is the size of each of three equal angles?

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Question 1117057: A hexagon has three equal angles. The other three angles are 115,85 and 130. What is the size of each of three equal angles?
Answer by ikleyn(52873)   (Show Source): You can put this solution on YOUR website!
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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 =  = 130°.


Answer.  The measure of each of the three congruent angles is 130°.

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

    - Solved problems on angles of a triangle
    - Solved problems on angles of a parallelogram
    - Solved problems on angles of a quadrilateral
    - Solved problems on angles of a polygon
    - Solved problems on missed angle of a polygon
    - Solved problems on angles of a regular polygon

Read them and become an expert in the area.

Also,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
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The referred lessons are the part of this online textbook under the topic  "Finding angles of triangles, parallelograms and rectangles".


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https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson

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