Math, asked by weenie33333, 9 months ago

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

Answers

Answered by Anonymous
6

As we know=}

Sum of Quadrilateral = 360°

\huge\star\mathfrak\red{Given}

.➣

Three sides of quadrilteral = 76, 54, 108

.➣

Solution=}

Fourth angle = 360° - (sum of all the three sides)

= 360° -(76+54+108)

= 360° - 238°

= 122°

Answered by Anonymous
19

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.

ㅤ ㅤ

Calculations:-

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

ㅤ ㅤ

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

\rm{76 + 54 + 108 + x = 360}

\rm{360 - 238 = x}

\rm{360 - 238 = 22}

{\boxed{\rm{x = 122 \: degree}}}

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

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