Question

Four angles of a polygon are 100� each. The remaining angles are 160� each. Find the number of sides of the polygon.

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Answer 1

Answer:

n = 6

Step-by-step explanation:

Let n be the number of sides:

Sum of all interior angles of a polygon = (n – 2) 180° .

Four angles measure 100° each and remaining angles (i.e n – 4) measure 160° each,

=> 100(4+(n-4) × 160 = (n-2)180

=> 400+160n-640 = 180n – 360

=> 760-640 = 20n

=> n = 6

Hence the number of sides of the polygon is 6.