Question

Find the size of the final unknown exterior angle in a polygon whose other exterior angles are: 37°, 84°, 49°, 38°, 35° and 68°.​

Answer 1

49°

Explanation:

the sum of the exterior angles of a polygon = 360°

let x be the unknown exterior angle , then summing gives

37° + 84° + 49° + 38° + 35° + 68° + x = 360° , that is

311° + x = 360° ( subtract 311° from both sides )

x = 49°