Question

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

Answer 1

total angle of a quadrilateral is 360
total angle of a Pentagon is 540

Answer 2

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...⭐⭐❣️❣️