Tick (✓) the correct answer:


Tick (✓) the correct answer:

Each interior angle of a polygon is 135°. How many sides does it have?

(a) 8

(b) 7

(c) 6

(d) 10


(a) 8

Each interior angle of a regular polygon with $\mathrm{n}$ sides $=180-\left(\frac{360}{n}\right)$

$\Rightarrow 180-\left(\frac{360}{n}\right)=135$

$\Rightarrow \frac{360}{n}=45$

$\Rightarrow n=8$


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