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3 years ago

Find the value of x.

Mathematics

2 answers:

Xelga [282]3 years ago

6 0

Step-by-step explanation:

sum of all interior angles of hexagon=720°

(x+70)°+x°+(2x)°+(2x)°+(2x-10)°+(x+30)°=720°

9x+90=720°

9x=720-90

9x=630

x=70

vekshin13 years ago

4 0

Answer:

x = 70

Step-by-step explanation:

The sum of the internal angles of a polygon is (n-2)*180. This figure has 6 sides, so the sum of its internal angles is720, so...

x + 2x + 2x + (2x - 10) + (x+30) + (x+70) = 720 simplifies to

x + 2x + 2x + 2x - 10 + x + 30 + x + 70 = 720 gather like terms

9x + 90 = 720, subtract 90 to both sides

9x = 630, divide by 9, get

x = 70

Check the answer

70 + 2*70 + 2*70 +2*70-10 +70+30 + 70+70 is

70 + 140 + 140 + 130 + 100 + 140 or

210 + 270 + 240 or

480 + 240 = 720, check

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