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The measure of angles of a hexagon are x°, (x-5)°, (x-5)°,(2x-5)°,(2x-5)°,(2x+20)°. Find the value of x

1 Answer

2 votes

Answer:

x = 80

Explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2 ) ← n is the number of sides

A hwxagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

sum the 6 angles, equate to 720 and solve for x

x + x - 5 + x - 5 + 2x - 5 + 2x - 5 + 2x + 20 = 720 ( simplify left side )

9x = 720 ( divide both sides by 9 )

x = 80

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