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

1.	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» ☆ 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.

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»

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

The value of x is 61.