Question

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

Answer 1

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Answer 2

☆ Solution ☆

Given :-

• Three of the exterior angles of a hexagon are 40°, 51° and 86º.

• If each of the remaining exterior angles is xº.

To Find :-

• The value of x

Step-by-Step-Explaination

As we know that :-

Hexagon has 6 sides and Sum of exterior angles = 360°

According to the given question :-

= > 40 + 51 + 86 + x + x + x = 360

= > 177 + 3x = 360

= > 3x = 360 - 177

= > 3x = 183

=> x = $\dfrac{183}{3}$

=> x = 61

Hence,

The value of x is 61.