ENMAILYA04
Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.