Question

The angle of a cyclic quadreidctercel ABCD a

LA = (6x +10)° , LB=(5x)°
LC= (x+y)° , LD =(3y-10)°

Find x andy, and hence the value
of the four angles :​

Answer 1

Answer:

x=20,y=30

Step-by-step explanation:

in a cyclic quadrilateral opposite angles add up-to 180

so 6x+10+x+y=180

7x+y=170---eq1

and 5x+3y-10=180

5x+3y=190---eq2

solve eq1 and 2

21x+3y=510

5x+3y=190

16x= 320

x= 320/16= 20

7*20+y=170

140+y=170

y=30