Question

Three of the exterior angles of a hexagon are 40°,57°and 86°.If each of the remaining angles is

x°,find the value of x. Also find the sum of all interior angles of hexagon. [3]​

Answer 1

Answer:

x =177°

Step-by-step explanation:

sum of interior angles of a hexagon =720°

i.e. each interior angle = 720°/6 = 120°

each exterior angle = 180° - 120° = 60°

therefore,

sum of exterior angles of a hexagon

= 60° × 6 = 360°

thus, 40°+57°+86°+x° = 360°

x°= 360° - 183° = 177°