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calculista

we know that

The sum of exterior angles of any polygon is [tex]360[/tex] degrees

so

[tex](62+66+77+59+12x)=360\\( 264+12x)=360\\ 12x=360-264\\12x=96\\x= 8\ degrees[/tex]

therefore

the answer is

the value of x is [tex]8\ degrees[/tex]

adioabiola

The value of x from the given polygon is; x = 8

Exterior bangles of a polygon

The sum of all exterior angles of a regular polygon is equal to 360.

Hence, the sum of all exterior angles of the given pentagon is;

  • 77+ 59+ 12x + 62 +66 = 360

  • 12x = 360 - 264

  • 12x = 96

  • x = 96/12 = 8

Read more on exterior angles of a polygon;

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