Question

section 1.8: models and applications
score: 11/33 answered: 4/9
question 5
the formula $a = \frac{180(s - 2)}{s}$ gives the measure, a, of the interior angle of a regular polygon with s sides.
solve the formula for s.
enter your answer as an equation with the isolated variable on the left hand side.
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Explanation:

Step1: Multiply both sides by s

$As = 180(s - 2)$

Step2: Expand the right - hand side

$As=180s - 360$

Step3: Move terms with s to one side

$As - 180s=- 360$

Step4: Factor out s

$s(A - 180)=-360$

Step5: Solve for s

$s=\frac{360}{180 - A}$

Answer:

$s=\frac{360}{180 - A}$