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What is the value of w?

 

 Apr 29, 2020
 #1
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Hi guest!

 

So first of all, we know that the blank angle of the triangle is \(180-(w+47)^{\circ}\)since, it's a straight line.

 

We also know that 3 angles of a triangle sum to \(180^{\circ}\)(triangle theorem).

 

So, we know \(w+w+13+180-w-47=180\)

If we combine like terms and simplify, we get:

 \(w+146=180\)

\(\boxed{w=34^\circ}\)

 

We can check this too: 34+(34+13)+180-34-47=180

 

I hope this helped you, guest!

:)

 Apr 29, 2020

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