Question

the measures of angle of a haxagon are x° (x-5)°,(x-5)°,(2x-5)°,(2x-5)° and (2x+20)°.find value of x.​

Answer 1

Answer:

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Step-by-step explanation:

x= 5

Answer 2

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°.