Question

if an angle of haptagon are 2:4:3:5:1:1:2 then calculate the measure of these angle​

Answer 1

Answer:

let the angles of the heptagon be , 2x,4x,3x,5x,x,x,2x

now the sum of all angles of heptagon = 630

$2x + 4x + 3x + 5x + x + x + 2x = 630 \\ 18x = 630 \\ x = \frac{630}{18} = 35$

thus the measure of these angles is

$2x = 2 \times 35 = 70 \\ 4x = 4 \times 35 = 140 \\ 3x = 3 \times 35 = 105 \\ x = 35 \\ x = 35 \\ 2x = 70$