Answer:
52
Step-by-step explanation:
Since each interior angle of a regular pentagon is 108 degrees, 2x+4 must equal 108.
2x+4=108
2x=104
x=52 degrees
Hope this helps!
Value of [tex]\boldsymbol{x}[/tex] in a regular pentagon is equal to [tex]\boldsymbol{52^{\circ}}[/tex].
The polygon with five equal sides and five equal angles is the regular pentagon.
Sum of all the angles of a pentagon is equal to [tex]\boldsymbol{540^{\circ}}[/tex].
Measure of each angle of the pentagon [tex]=\boldsymbol{2x+4^{\circ}}[/tex]
Therefore,
[tex]5(2x+4^{\circ})=540^{\circ}[/tex]
[tex]2x+4^{\circ}=108^{\circ}[/tex]
[tex]2x=104^{\circ}[/tex]
[tex]x=52^{\circ}[/tex]
Value of [tex]\boldsymbol{x}[/tex] is equal to [tex]\boldsymbol{52^{\circ}}[/tex].
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