Question

The three angles of a quadrilateral are 76°, 549 and 108°. Find the measure of the fourth angle.​

Answer 1

Answer:

⇢ ${\boxed{\rm{Fourth \: angle = 122 \: degree}}}$

Step-by-step-explanation:

Correct question:-

⇢ The side of a Quadrilateral are 76, 54 and 108. Find the measure of the fourth angle.

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Calculations:-

⇢ As per the given question, let is assume the variable x as the fourth angle.

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We know that, sum of all four sides in a quadrilateral is 360 degree.

⇢ $\rm{76 + 54 + 108 + x = 360}$

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⇢ $\rm{360 - 238 = x}$

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⇢ $\rm{360 - 238 = 22}$

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⇢ ${\boxed{\rm{x = 122 \: degree}}}$

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Therefore, 122 degree is the fourth angle of the quadrilateral.

Answer 2

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$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

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$\sf{\underline{\green{AnswEr:-}}}$

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• The required value of fourth angle = 122°

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$\sf{\underline{\green{Given:-}}}$

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• The side of a Quadrilateral are 76°, 54° and 108°.

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$\sf{\underline{\green{Find:-}}}$

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• The required value of fourth angle = ?

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$\sf{\underline{\green{Explanation:-}}}$

• Let the required value of fourth angle be y.

$\sf{\underline\purple{Then,\:we\:know\:that:-}}$

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$\bigstar\boxed{\sf{\red{Sum\:of\:all\: angles\:of\:quadrilateral = 360\degree}}}$

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$\sf{\underline{\pink{Putting\:the\:values:-}}}$

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$\longrightarrow \sf {76\degree + 54\degree + 108\degree + y = 360\degree}$

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$\longrightarrow \sf {130+ 108\degree + y = 360\degree}$

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$\longrightarrow \sf {238 + y = 360\degree }$

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$\longrightarrow \sf {y = 360 - 238}$

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$\longrightarrow{\gray{ \underbrace{\boxed{\underline{\underline{\green{ \tt y = 122\degree }}}}}}}$

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$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

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• The required value of fourth angle is 122°

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$\rule{200}{2}$