Find the value of x in each of the following
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the figure shown here is a pentagon
the sum of interior angles of a pentagon = n-2×180°
n is the number of sides
so the sum = 5-2×180
=3×180
=540°
lets name the pentagon as ABCDE
A=85°
B=120°
C= (180-x)° [because the angle lies on a straight line]
D=90°
E=( 2x -10)°
∴ ∠A + ∠B + ∠C + ∠D + ∠E =540°
i.e, 85 + 120+ 180-x + 90 + 2x-10 = 540
465 + x = 540
x = 540 - 465
x = 75
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