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QUESTION IMAGE

what is the value of u? u =

Question

what is the value of u? u =

Explanation:

Step1: Apply the 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, \(3u=(2u - 10)+39\)

Step2: Simplify the equation

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Step3: Solve for \(u\)

Subtract \(2u\) from both sides of the equation:
\(3u-2u=2u + 29-2u\)
\(u = 29\)

Answer:

\(29\)