Question

Plss help with this question

Answer 1

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 :-

1. x = 30
2. 2x = 60
3. 3x = 90
4. 4x = 120
5. 6x = 180
6. 8x = 240

Clearly the largest angle is 8x with 240°