3 years ago

Find x of this shape.

Mathematics

2 answers:

bagirrra123 [75]3 years ago

8 0

(n - 2)180 = sum of angles (six sides)

(6 - 2)180 = y

(4) 180 = y

720= y

115+110+x+25+x-30+x+x = 720

4x + 220 = 720

4x = 720 - 220

4x = 500

x = 500/4

x = 125

svp [43]3 years ago

3 0

Answer:

x = 125

Step-by-step explanation:

The sum of the interior angles of a 6 sided polygon is

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

here n = 6, hence

sum of interior angles = 180° × 4 = 720°

Sum the 6 given angles and equate to 720

x + x + x - 30+ x + 25 + 110 = 720 ← simplify left side

4x + 220 = 720 ( subtract 220 from both sides )

4x = 500 ( divide both sides by 4 )

x = 125

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