Question

I am doing Polygons with Algebra and I have a irregular shape with letters on each point

Answer 1

Answer:

Step-by-step explanation:

Number of side = n = 7

Sum of interior angles of 'n' sided polygon = (n - 2) *180

    = (7 - 2)* 180

    = 5 * 180

     = 900

x + 150 + x -20 + 140 + 120 + x + 20 + 130 = 900

Combine like terms

x +x +x + 150 - 20 + 140 + 120 + 20 +130 = 900

3x + 540 = 900    {Subtract 540 from both sides}

           3x  = 900 - 540

           3x = 360       {Divide both sides by 3}

             x = 360/3

x = 120

  Interior angle                    Exterior angle

∠A = 120                                  180 - 120 = 60

∠B = 130                                   180 - 130 = 50

∠C = 120 + 20 = 140                180 - 140 = 40

∠D = 120                                   180 - 120 = 60

∠E =  140                                   180 - 140 = 40

∠F = 120 - 20 = 100                  180 -100  = 80

∠G = 150                                    180 - 150 = 30