Answered

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shown is a regular pentagon, find y.

Shown Is A Regular Pentagon Find Y class=

Sagot :

devishri1977

Answer:

Step-by-step explanation:

Each angle of regular pentagon = 108

Given triangle is an isosceles triangle

In this triangle,

y + y + 108 = 180     {angle sum property}

2y + 108 = 180

        2y = 180 - 108

        2y = 72

         y = 72/2

        y = 36

Solution:

As we know that,

[tex]\star[/tex] Each angle of regular pentagon = 108°.

The triangle given to us is a Isosceles Triangle.

In the given triangle,

[tex]\longrightarrow\rm{y + y + 108 = 180 \: ... \: (Angle \: sum \: property)} \\ \\ \longrightarrow\rm{2y + 108 = 180} \\ \\ \longrightarrow\rm{2y = 180 - 108} \\ \\ \longrightarrow\rm{2y = 72} \\ \\ \longrightarrow\rm{y = \frac{\cancel{72}}{\cancel{2}}} \\ \\ \longrightarrow\rm{y = 36} \: \bigstar[/tex]

Henceforth;

  • The value of y is 36.
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