waecmaths question:
The angle of a polygon are x, 2x, 2x, (x + 30o), (x +20o) and (x –10o). Find the value of x
Option A:
45o
Option B:
84o
Option C:
85o
Option D:
95o
waecmaths solution:
Number of sides of the polygon is 6
The total angle in any polygon is give by (n – 2) × 180o
Total angle in a hexagon is (6 – 2)×180o = 720o
$x+2x+2x+(x+30{}^\circ )+(x+20{}^\circ )+(x-10{}^\circ )=720{}^\circ $
$8x+40{}^\circ =680{}^\circ $
$x=85{}^\circ $
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