three angles of a polygon ate right angles and each of the other is 150 degree then the number of sides of the polygon are
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Number of sides of polygon are 6
Step-by-step explanation:
Let say Polygon has n number of sides
Sum of interior angles of n sides polygon = (n - 2) * 180°
= n(180)° - 360°
three angles are right angle 90° each
remaining n - 3 angles are 150° each
Sum of all angles of polygon = 3* 90° + (n-3)150°
= 270° + n(150)° - 450°
= n(150)° - 180°
n(150)° - 180° = n(180)° - 360°
=> n(30)° = 180°
=> n = 6
Number of sides of polygon are 6
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