Question

what is the measure of ∠b? 98° 108° 118° 128°

Explanation:

Step1: Calculate the sum of interior angles

The formula for the sum of interior angles of an \(n -\)sided polygon is \((n - 2)\times180^{\circ}\). For a hexagon (\(n=6\)), \((6 - 2)\times180^{\circ}=720^{\circ}\)

Step2: Set up an equation

Let \(\angle B=x\). Then \(x + 170^{\circ}+90^{\circ}+117^{\circ}+102^{\circ}+133^{\circ}=720^{\circ}\)

Step3: Solve the equation

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Answer:

\(108^{\circ}\)