Question

In this hexagon, all the angles are equal. What is the measure of angle x°? 60° 360° 720° 180°

Answer 1

Explanation:

Answer:Option - b: 60

Explanation:

Sum of exterior angle = 360

Exterior angle = 60

6x = 360

x = 360 / 6 = 60

Answer 2

x = 60°

Explanation:

The sum of the interior angles of a regular polygon is equal to (n-2)180°, where n is the number of sides.

In this case,

The hexagon has 6 sides. n = 6, so the sum of the interior angles is (6-2)180° =720°.

Since all the angles are equal, each interior angle measures:

`\sf (720^\circ)/(6) =120^\circ`.

Since x is an exterior angle which is supplementary to interior angle, so

120° + x = 180°

Subtract 120° on both sides:

120° + x - 120° = 180° - 120°

x = 60°

Therefore, the measure of angle x is 60°