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Answer»

angle ABC + angle ADC = 180

y + 10 + 5x + 5 = 180

5x + y + 15 = 180

5x + y = 165 -----------------(i)

angle BCD + angle ADC = 180

4x - 4 + 2y + 4 = 180

4x + 2y = 180 --------------------(ii)

Subtracting EQ. (ii) from 2× e(i)

2(5x + y) - 4x + 2y = 330 - 180

10x + 2y - 4x + 2y = 150

6x = 150

x = 25

Substituting VALUE of x in eq.(i) we get

5 × 25 + y = 165

125 + y = 165

y = 40

Therefore x= 25 and y = 40



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