3 years ago

The diagram shows a convex polygon.

Mathematics

1 answer:

Vitek1552 [10]3 years ago

3 0

Answer:

w = 89

Step-by-step explanation:

The three angles shown are all exterior angles. In any polygon, the sum of its exterior angles is equal to 360°.

Set up the equation:

(2w-35)+(2w-47)+(w-3)=360

Combine like terms:

5w - 85 = 360

Add 85 to both sides:

5w = 445

Divide both sides by 5:

w = 89 (ans)

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