Mark (✓) against the correct answer:

Question:

Mark (✓) against the correct answer:

Each interior angle of a polygon is 135. How many sides does it have?
(a) 10

(b) 8

(c) 6

(d) 5

Solution:

(b) 8

Interior angle $=\frac{180(n-2)}{n}$

$\Rightarrow 135=\frac{180(n-2)}{n}$

$\Rightarrow 135 n=180 n-360$

$\Rightarrow 360=180 n-135 n$

$\Rightarrow n=8$

It has 8 sides.

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