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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. - Mathematics

Sum

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.

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Solution

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

Concept: Regular Polynomial
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (B) | Q 18 | Page 184
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