the of a heptagon are (x+3)°,(2x+5)°,(x+8)°,(3x+1)°,(5x-6)°,(2x+9)° and (x-5)°.calculate x.
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viratkohli6631:
now this is the right one
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Sum of interior angles = (2 * 7 - 4) * 90
= (14 - 4) * 90
= 10 * 90
= 900.
Then (x + 3) + (2x + 5) + (x + 8) + (3x + 1) + (5x - 6) + (2x + 9) + (x - 5) = 900
x + 3 + 2x + 5 + x + 8 + 3x + 1 + 5x - 6 + 2x + 9 + x - 5 = 900
15x + 15 = 900
15x = 900 - 15
x = 885/15
x = 59.
Therefore the value of x = 59.
Hope this helps!
= (14 - 4) * 90
= 10 * 90
= 900.
Then (x + 3) + (2x + 5) + (x + 8) + (3x + 1) + (5x - 6) + (2x + 9) + (x - 5) = 900
x + 3 + 2x + 5 + x + 8 + 3x + 1 + 5x - 6 + 2x + 9 + x - 5 = 900
15x + 15 = 900
15x = 900 - 15
x = 885/15
x = 59.
Therefore the value of x = 59.
Hope this helps!
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