Question

what is the value of u?
34°
3u+44°
u+44°
u = □°
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Explanation:

Step1: Apply exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(3u + 44=(u + 44)+34\).

Step2: Simplify the equation

Subtract \(u\) and \(44\) from both sides of the equation \(3u + 44=u + 44+34\).

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Step3: Solve for \(u\)

Divide both sides of the equation \(2u = 34\) by \(2\). So, \(u=\frac{34}{2}=17\).

Answer:

\(17\)