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Construction of Quadrilaterals — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSConstruction of Quadrilaterals1 Mark
MCQ
Each interior angle of a polygon is $135. $ How many sides does it have$?$
  • A
    $10$
  • ✓
    $8$
  • C
    $6$
  • D
    $5$
✓

Answer

Correct option: B.
$8$
Interior angle $=\frac{180(\text{n}-2)}{\text{n}}$
$\Rightarrow135=\frac{180(\text{n}-2)}{\text{n}}$
$\Rightarrow135\text{n}=180\text{n}-360$
$\Rightarrow360=180\text{n}-135\text{n}$
$\Rightarrow\text{n}=8$
It has $8$ sides.

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