rosecristal998 rosecristal998
  • 08-04-2022
  • Mathematics
contestada

For the diagram at right, write and solve an equation to find x

For the diagram at right write and solve an equation to find x class=

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dylannelson259
dylannelson259 dylannelson259
  • 08-04-2022

Answer:

x = 24

Step-by-step explanation:

The formula for determining the sum of interior angles is:

[tex](n-2) * 180[/tex]

[tex]4 * 180 = 720[/tex]

Therefore to determine an equation for x, we must add up all the interior angle equations and set them equal to 720.

[tex](2x+3) +(3x+12) + (7x+14) + (9x+2) + (4x+8) + (3x+9) = 720\\28x + 48 = 720\\28x = 672\\x = 24[/tex]

The equation and answer above shows how to find x, which equals 24.

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