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