If each interior angle of a regular polygon is 135- the polygon has sides-

The correct option is D 8 i = 135^∘ i + e^∘ = 180^∘ e = 180 135 e = 45^∘ n = 360^∘/e^∘ = 360/45 = 8 Ans: (C) ...

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Standard VI

Mathematics

Regular Polygon and Its Properties

If each inter...

Question

If each interior angle of a regular polygon is $135^{\circ}$ , the polygon has ___ sides.

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Solution

The correct option is C
8

$i = 135^{\circ}$

$i + e^{\circ} = 180^{\circ}$

e = 180 - 135

$e = 45^{\circ}$

$n = \frac{360^{\circ}}{e^{\circ}}$

$= \frac{360}{45}$

= 8

Ans: (C)

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If each interior angle of a regular polygon is 135∘, the polygon has ___ sides.

The correct option is C 8 i=135∘ i+e∘=180∘ e = 180 - 135 e=45∘ n=360∘e∘ =36045 = 8 Ans: (C)

If each interior angle of a regular polygon is $135^{\circ}$ , the polygon has ___ sides.

The correct option is C
8

$i = 135^{\circ}$

$i + e^{\circ} = 180^{\circ}$

e = 180 - 135

$e = 45^{\circ}$

$n = \frac{360^{\circ}}{e^{\circ}}$

$= \frac{360}{45}$

= 8

Ans: (C)