Question

The angles of a quadrilateral are 110°,72°, 55° and x° . Find the values of x.

Answer 1

Hey guys here is ur answer !!!

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The angle of quadrilateral are given

110° , 72° , 55° and x°



sum of total angle of quadrilateral be 360°

Therefore

110° + 55° + 72° + x° = 360°

237° + x° = 360°

x° = 360° - 237°

x° = 123°

There x is 123° ..


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Answer 2

♧ $\textbf{Quadrilateral =>}$

=> Quadrilateral are also known as $\textbf{four sided polygon.}$

□ Given that ,

=> The angels of a quadrilateral are 110° , 72° , 55° and x°.

□ Find the value of " x " = ?

♧ As we know that the sum of the interior angle of a $\textbf{quadrilateral is}$ 360°

□ According to the question ,

□ Sum of interior angle = 360°

=> 110° + 72° + 55° + x° = 360

=> 237° + x° = 360°

=> x = 360 - 237°

=> x = 123°

♧ $\textbf{Hence , the value of ( x ) is}$ 123°

□ Let's prove ,

=> $\textbf{Sum of the interior angle}$ of a quadrilateral = 360°

=> 110° + 72° + 55° + 123° = 360°

=> 360° = 360°

$\textbf{hence , proved.}$



$\textbf{Thanks !!!}$

$\textbf{be brainly}$☺