Question

the measure of angles of a hexagon are x°,(x-5)° ,(x-5)°,(2x-5)°,(2x-5)°,(2x+20)°. find the measures of all unknown angles

plz answer it fast ​
because there is no time

Answer 1

Answer:

Value of x is 80°.

Step-by-step explanation:

By using the formula,

The sum of interior angles of a polygon = (n – 2) × 180°, (where n = number of sides of polygon.)

We know, a hexagon has 6 sides. So,

The sum of interior angles of a hexagon = (6 – 2) × 180° = 4 × 180° = 720°

x°+ (x-5)°+ (x-5)°+ (2x-5)°+ (2x-5)°+ (2x+20)° = 720°

x°+ x°- 5°+ x° – 5°+ 2x° – 5°+ 2x° – 5°+ 2x° + 20° = 720°

9x° = 720°

x = 720°/9

= 80°

∴ Value of x is 80°.