Question

the interior angle of a hexagon are x°,(2x+25°),(4x+10°),(3x-20°),(x+45°),and(5x+20°) find angle of each angle​

Answer 1

Step-by-step explanation:

let hexagon is ABCDEF.

A = x°. eq (1)

B =3x°+25°. eq (2)

C=4x°+10°. eq (3)

D=3x°+20°. eq (4)

E=x°+45°. eq (5)

F=5x°+20°. eq ( 6)

A+B+C+D+E+F=360°

x°+3x°+25°+4x°+10°+3x°+20°+x°+45°+5x°+20°=360°

14x°+120°=360°

14x°=360°-120°

14x°=240°

x=240°/14°

x=17.14°

the put value of x in eq 1, 2 ,3,4,5,6