Question

in the given figure,if x/y=4 and z/y= 5,then the value of x is​

Answer 1

Answer:

figure of zero

Step-by-step explanation:

because it is the answer

Answer 2

Solution

In the figure, x3=y4=z5=k (say)

⇒x=3k

y=4k

and z=5k

In cyclic qudarilateral ABCD, the side BC is produced to Q.

∴∠A=∠DCQ=x (∵ exterior angle of a cyclic quadrilateral is equal to its interior opposite angle)

Also, in ΔCDQ, the side QD is produced to A

⇒∠ADP=x+z (∵ exterior angle of a triangle is equal to the sum of its two int., opposite angles)

Now, in ΔADP,

∠A+∠ADP+∠APD=180∘ (∵ sum of angles of a triangle is 180∘)

∴x+(x=z)+y=180∘

⇒2x+y+z=180∘

⇒2(3k)+4k+5k=180∘

⇒6k+4k+5k=180∘

⇒15k=180∘⇒k=180∘÷15=12∘

∴x=3k=3×12=36∘

y=4k=4×12=48∘

and z=5k=5×12=60∘