Qstnid -B-18- 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. - 16: Understanding Shapes (Including Polygons) Class 8 Maths - Icse-viii-mathematics

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ICSE-VIII-Mathematics

16: Understanding Shapes (Including Polygons) Class 8 Maths

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#18
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.
Ans : 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