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d1i1m1o1n [39]
2 years ago
15

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

Mathematics
1 answer:
Tomtit [17]2 years ago
3 0

Answer:

x = 24

Step-by-step explanation:

The formula for determining the sum of interior angles is:

(n-2) * 180

4 * 180 = 720

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

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

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

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