Question

The angles of a heptagon are (x+3),(2x+5),(x+8),(3x+1)(5x-6),(2x+9)(x-5).calculate x

Answer 1

Answer:

Here's the answer : 59

Step-by-step explanation:

The sum of all angles of a heptagon is : (7-2) * 180

= 5 * 180

= 900

so, x + 3 + 2x + 5 + x + 8 + 3x + 1 + 5x - 6 + 2x + 9 + x - 5 = 900

or, 15x + 15 = 900

or, x + 1 = 900/15

or, x = 60 - 1

or, x = 59

Answer 2

Answer:

59°

Step-by-step explanation:

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Formula of an angle of a ∆ having n sides is = (n-2)π

For a heptagon having 7 sides,

Each Angle = (7-2)π = 5π = 5*180° = 900°

900° = 15x +15

60° = x+1

x = 59°