ENMAILYA04
Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

I am doing Polygons with Algebra and I have a irregular shape with letters on each point
A=x
B=130°
C=x+20°
D=120°
E=140°
F=x-20°
G=150°
Find the value of x, and use the 7 block chart to figure out answer for interior and exterior, and the equation.

I Am Doing Polygons With Algebra And I Have A Irregular Shape With Letters On Each Point Ax B130 Cx20 D120 E140 Fx20 G150 Find The Value Of X And Use The 7 Bloc class=
I Am Doing Polygons With Algebra And I Have A Irregular Shape With Letters On Each Point Ax B130 Cx20 D120 E140 Fx20 G150 Find The Value Of X And Use The 7 Bloc class=

Sagot :

devishri1977

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

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.