Math, asked by anjaliagnihotri114, 6 months ago

the sides of hexagon are produced in order. if the measure of exterior angle so obtained are (3x-5), (8x+3), (7x-2), (4x+1), (6x+4) and (2x-1). find the value of x and measure each of the exterior angle of the hexagon. ​

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Answered by nandika32
8

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Answered by Darika25
2

Sum of the interior angles of hexagon

= (2n-4) 90° =(2× 6-4)× 90° =720°

(3x-5)+(8x+3)+(7x-2)+(4x+1)+(6x+4)+ (2x-1)=360°

30x=360°

x=12°

Now substitute the value of x in the expressions of all the sides we get:

(3x-5)° =31°

(8x+3)° =99°

(7x-2)° =82°

(4x+1)° =49°

(6x+4)° = 76°

(2x-1)°=23°

Step-by-step explanation:

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