Find the value of x in the figure.
(4x-5)
177
(4x-3)
(3x-3)
118
(3x+6)
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Answer:
x = 35
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6, then
sum = 180° × 4 = 720°
sum the given angles and equate to 720
4x - 5 + 117 + 3x - 3 + 3x + 6 + 118 + 4x - 3 = 720, that is
14x + 230 = 720 ( subtract 230 from both sides )
14x = 490 ( divide both sides by 14 )
x = 35