Question

Each interior angle of a regular polygon is 144 degree. Find the interior angle of a regular polygon which has double the number of sides as the first polygon

Answer 1

            THE ANSWER IS 162⁰.

  MEASURE OF EACH INTERIOR ANGLE

 => (n-2)180/n

    144⁰ = (n-2)180/n

=> 144n=180n-360

=> After Transposing, -360 to the left side we are remain with

=>360=180n-144n

=>360=36n

∴ n = 360/36

      => 10

∵ THE FIGURE IS 10 SIDED REGULAR POLYGON (DECAGON).

ATQ ,    WE HAVE TO DOUBLE THE NO. OF SIDES = 10*2 = 20 SIDES.

ATQ ,    WE HAVE TO FIND THE MEASURE OF THE INTERIOR ANGLE IN THAT 20 SIDED POLYGON.

MEASURE OF EACH INTERIOR ANGLE =

  (n-2)180/n       Here, n( no. of sides ) = 20

ATQ , (20-2)180/20

          = 18*180/20

          = 162⁰

PLZ MARK ME THE BRAINLIEST.

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@harshdynamo

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Answer 2

Answer:

162

Step-by-step explanation:

Hope it helps you mate and Mark me as brainlest and I