Question

find the value of x and give full explanation


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Answer 1

Step-by-step explanation:

FIRST DIAGRAM IS REGULAR OCTAGON BECAUSE

IT HAS 8 EQUAL SIDES

FORMULA OF EACH INTERIOR ANGLE OF REGULAR POLYGON= 180° - (EACH EXTERIOR ANGLE)

SO, WE HAVE TO EACH EXTERIOR ANGLE

FORMULA OF EACH EXTERIOR ANGLE= 360°/N

{N STANDS FOR NO. OF SIDES}

360/8

=45°

EACH INTERIOR ANGLE = 180 - 45

=135°

SECOND DIAGRAM IS REGULAR HEXAGON

SO,

WE KNOWN THAT

EACH EXTERIOR ANGLE = 360/6

=60°

EACH INTERIOR ANGLE = 180° - 60°

=120°

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