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Find the value of x please help me

Find the value of x please help me-example-1
User Ewdlam
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Explanation:

this creates a quadrilateral.

that means the sum of all internal angles is 360°.

each internal angle is the supplementary angle of the specified expressions (that means they are together 180°).

so, the internal angle of 6x is 180 - 6x.

the internal angle of 5x is 180 - 5x.

and so on.

as mentioned, the sum of these 4 internal angles is 360.

therefore,

180 - 6x + 180 - 5x + 180 - (x + 16) + 180 - (3x - 1) = 360

720 - 11x - (x + 16) - (3x - 1) = 360

720 - 11x - x - 16 - 3x + 1 = 360

705 - 15x = 360

345 = 15x

x = 345/15 = 23

User Vedburtruba
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