Math, asked by rajkumar3964, 1 year ago

how to find the value of x in the
figure in Geometry chapter plz give me solution fast

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Answers

Answered by rima17
2
total angle of a quadrilateral is 360
total angle of a Pentagon is 540
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Answered by CoolestCat015
17

Hey dear here is your answer!!!!!


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Lets solve each one of them one by one:-


(a) This polygon has 4 sides. So, it is a quadrilateral.


Therefore, the sum of its angles is 360°.


According to question:-


(x - 10°) + (x - 20°) + (x - 35°) + (x + 25°) = 360°

x - 10 + x - 20 + x - 35 + x + 25 = 360


Add the like terms:-


4x - 40 = 360


Transposing:-


4x = 400

x = \frac{400}{4}

x = 100


(B) It is also a quadrilateral.


Find the missing angle using angle sum property. It would be 60°


According to question:-


60 + 2x + x + x + 20 = 360

4x + 80 = 360

4x = 280

x = \frac{280}{4}

x = 70°


(C) It is a pentagon. Sum of its angles is 540°


According to question:-


x + x + 7 + x + 9 + x + 12 + x + 22 = 540


Add the like terms:-


5x + 50 = 540

5x = 490

x = \frac{490}{5}

x = 98


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❣️⭐ Hope it helps you dear...⭐⭐❣️❣️

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