Question

if all the angle of a hexagon are equal find the measure of each angle​

Answer 1

Answer:

Measure of each angle will be 120°

Step-by-step explanation:

All the angles are equal. So, let the each angle be x

Sum of all angles of hexagon = (n-2) ×180

[where n = number of sides]

Sum of all angles of hexagon = 720

x + x + x.. = 720

6x = 720

x = 120°

Answer 2

Answer:

(i) No. of sides of hexagon, n = 6

Let each angle be = x°

Sum of angles = 6x°

(n – 2) x 180° = Sum of angles

(6 – 2) x 180° = 6x°

4 x 180 = 6x

X = (4 × 180)/6

x = 120°

∴ each angle of hexagon = 120°

(ii) No. of sides of polygon, n = 14

Let each angle = x°

∴ Sum of angles = 14x°

∴ (n – 2)