Question

Abcd is a cyclic quadrilateral such that angle a =4y+20°,b =3y-5°,c=4x°,d=7x+5° .Find the four angles

Answer 1

Step-by-step explanation:

if abcd is cyclic quadrilateral then angle A+C = angle B+D = 180°

therefore 4y+20+4x=180°

3y-5+7x+5=180°

from equation 1

y+x = 40

y=40-x

in equation 2

3y+7x=180°

3(40-x)+7x = 180°

120°+4x=180°

4x = 60

x = 15°

hence y = 25°

now variables are known hence angle could be found

Answer 2

Answer:

Step-by-step explanation: