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what is the value of ( b )? ( b = square^circ )

Question

what is the value of ( b )? ( b = square^circ )

Explanation:

Step1: Find sum of interior angles

For a pentagon, sum of interior angles = $(n-2)\times180^\circ$ where $n=5$.
$\text{Sum}=(5-2)\times180^\circ=540^\circ$

Step2: Set up equation for total angles

All 5 angles equal $2b$, so total is $5\times2b$.
$5\times2b=540^\circ$

Step3: Simplify and solve for $b$

Simplify left side, then isolate $b$.
$10b=540^\circ$
$b=\frac{540^\circ}{10}=54^\circ$

Answer:

$54$