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jodonw5616
05.06.2021 •
Mathematics
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.
Solved
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Ответ:
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
Ответ:
56.
Step-by-step explanation:
46+10=56