Question

The diagram shows a convex polygon.

2w-350
2w-470
W-30
What is the value of w?
W=

Answer 1

w = 89

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)