Q.11. In the given figure, find out the value of x and y. Share with your friends Share 1 Shruti Tyagi answered this Dear student, As we know, Sum of opposite angles of a cyclic quadrlateral is 180°then in quad ABCD∠A+∠C=180°⇒2x+4+4y-4=180°⇒2x+4y=180°⇒x+2y=90° --(1) --[taking 2 common]Also, ∠B+∠D=180°⇒x+10+5y+5=180°⇒x+5y+15=180°⇒x+5y=180°-15⇒x+5y=165° --(2)solving (1) and (2) x+2y=90° x+5y=165° - - - -3y=-75° ⇒y=-75-3 ⇒y=25°put this value of y in (1) x+225°=90° x+50°=90° ⇒ x=90°-50° ⇒ x=40° Thus the value of x=40° and y=25° Regards 0 View Full Answer