+3 votes
in Class 9 by kratos

Three of the exterior angles of a hexagon are 40°, 51 ° and 86°. If each of the remaining exterior angles is x°, find the value of x.

1 Answer

+1 vote
by kratos
 
Best answer

Sum of exterior angles of a hexagon = 4 x 90° = 360°

Three angles are 40°, 51° and 86°

Sum of three angle = 40° + 51° + 86° = 177°

Sum of other three angles = 360° – 177° = 183°

Each angle is x°

3x = 183°

x = 183/3

Hence x = 61

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