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Geometry. Please help

Geometry. Please help-example-1

1 Answer

4 votes

Answer:

W = 81

Explanation:

We'll be using the Exterior Angles Theorem for this question

The theorem states that the sum of any two angles of a triangle is equal to the exterior angle of the other angle.

Therefore

(3x-24) + (2x) = 4x + 11

It's just simple algerbra from there

(3x-24) + (2x) = 4x + 11/

5x - 24 = 4x + 11

x-24 = 11

x = 35

BUT WAIT! The question asks for the angle W, not x.

So just plug in x

3(35) - 24

105 - 24

81

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