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Answer:
Formula to find interior angles :-
( 2n - 4 ) 90
Given,
Shape = hexagon ( 6 sides )
Angles = x, 2x, 3x, 4x, 6x, 8x
Sum of interior angles ..
n = 6
Therefore, (2n - 4) 90
= ( 2× 6 - 4 ) 90
=( 12 - 4) 90
= 8 × 90
= 720
So,
x + 2x + 3x + 4x + 6x + 8x = 720
24x = 720
x = 720 / 24
x= 30
So each angle measure :-
Clearly the largest angle is 8x with 240°