Question

what is the value of b?
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Explanation:

Step1: Use 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, \(5b - 3=3b + 41\).

Step2: Solve the equation for \(b\)

Subtract \(3b\) from both sides: \(5b-3b - 3=3b-3b + 41\), which simplifies to \(2b-3 = 41\).
Add \(3\) to both sides: \(2b-3 + 3=41 + 3\), so \(2b=44\).
Divide both sides by \(2\): \(b=\frac{44}{2}\).

Answer:

\(22\)