The value of the angle x is 121°.
What is a pentagon?
The pentagon is one of the types of polygons. it is a geometrical shape, which has five sides and five angles.
For the given situation,
The diagram shows the polygon that has five sides. The polygon that has five sides is pentagon.
The angles of pentagon are 82°, 129°, 147°, 61° and x°.
The sum of all the interior angles for a regular pentagon is 540 degrees.
⇒ [tex]82+129+147+61+x =540[/tex]
⇒ [tex]419+x=540[/tex]
⇒ [tex]x=540-419[/tex]
⇒ [tex]x=121[/tex]
Hence we can conclude that the value of x is 121°.
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