Question

) Is it possible to have a polygon in which the exterior angle is four times its corresponding interior angle? b) Find the least number by which 243 is multiplied to make it a perfect square. Also find the square root of the resulting number. c) (i) Find the total number of days between 6 th January to 15 th May,2021. (ii) Three positive numbers are in the ratio 2:3:5 and the sum of their squares is 950. Find the square of the smallest number.​

Answer 1

Answer:

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Answer 2

Answer:

10

Step-by-step explanation:

The sum of the interior angles of a polygon is four times the sum of its exterior angles.

The sum of the exterior angles of a polygon is always equal to 360

o

.

The sum of the interior angles of polygon = 180(n−2)

=> 180(n−2)=4×360

=> n−2=8

=> n=10

Number of sides in the polygon = 10