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The sine of the interior angle is and what is the value of x

The sine of the interior angle is and what is the value of x-example-1
User Nexuswho
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1 Answer

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TIP

This is a polygon called pentangon 5sides

N is number of sides

STEP 1

The sum of interior angles of a polygon is


\begin{gathered} =(n-2)*180^0 \\ \text{pentangon number of sides is 5} \\ =(5-2)*180^0 \\ =3*180^0 \\ =540^0 \end{gathered}

STEP 2


\begin{gathered} TO\text{ FIND THE VALUE OF X} \\ 104^0+120^0+140^0+112^0+x=540^0 \\ 476^0+x=540^0 \\ x=540^0-476^0 \\ x=64^0 \end{gathered}

THE VALUE OF X IS 64 DEGREE

User Akash Sethi
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