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Construction of Quadrilaterals — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsConstruction of Quadrilaterals1 Mark
Question
Fill in the blanks.
Each interior angle of a regular polygon is 108°. This polygon is a ______.
✓

Answer

Each interior angle of a regular polygon is 108°. This polygon is a 360º.
Solution:
If the interior angle is 108º, then the exterior angle will be 72º. (interior and exterior angles are supplementary)
Sum of the exterior angles of a polygon is 360º.
$72\text{n}=360$
$\text{n}=\frac{360}{72}$
$\text{n}=5$
Since it has 5 sides, the polygon is a pentagon.

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