Make n the subject of the relation θ=180-360/n

Correct Answer is : 360180−θ360/180-θ180−θ360

Correct Answer is : 360180−θ360/180-θ180−θ360

Test Index

BECE Mathematics 2011 Paper

Question : 18

Total: 40

Make

n

\theta=180-\frac{360}{n}

Solution:

Concept:

Isolate

n

by eliminating the denominator and rearranging the equation.

Explanation:

Start with

\theta = 180 - \frac{360}{n}

Multiply both sides by

n

to remove the fraction:

n\theta = 180n - 360

Bring terms containing

n

to one side and constants to the other:

360 = 180n - n\theta

Factor out

n

from the right-hand side:

360 = n(180 - \theta)

Divide both sides by

(180 - \theta)

n = \frac{360}{180 - \theta}

Answer:

\displaystyle n = \frac{360}{180 - \theta}

, which is option C.

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