Tick (✓) the correct answer:

Question:

Tick (✓) the correct answer:

The sum of all interior angles of a regular polygon is 1080°. What is the measure of each of its interior angles?

(a) 135°

(b) 120°

(c) 156°

(d) 144°

Solution:

(a) 135°

$(2 n-4) \times 90=1080$

$(2 n-4)=12$

$2 n=16$

or $n=8$

Each interior angle $=180-\frac{360}{n}=180-\frac{360}{8}=180-45=135^{\circ}$

 

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