Question

The three angles of a quadrilateral are 76∘,54∘ and 108∘ . Find the measure of the fourth angle .

Answer 1

Let the fourth angle be X degrees

Sum of angles in a quadrilateral=360 degrees

Therefore,

76+54+108+X=360

238+X=360

X=122 degrees

Answer 2

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.