miagarcia092106 miagarcia092106
  • 16-01-2022
  • Mathematics
contestada

The diagram shows a convex polygon.
2w-350
2w-470
W-30
What is the value of w?
W=

The diagram shows a convex polygon 2w350 2w470 W30 What is the value of w W class=

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Ancillary
Ancillary Ancillary
  • 16-01-2022

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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