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podryga [215]
3 years ago
10

How would I do this? What would it be?

Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer: x=80

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Knowing this, you can write the following equation:

(x+8)+(2x+12)+(x+20)=360

Then, you must solve for "x" in order to find its value. To do it, you can follow these steps:

1. You need to add the like terms:

(x+8)+(2x+12)+(x+20)=360\\\\4x+40=360

2. Now, subtract 40 from both sides of the equation:

4x+40-(40)=360-(40)\\\\4x=320

3. Finally, you must divide both sides of the equation by 4. Then:

\frac{4x}{4}=\frac{320}{4}\\\\x=80

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