Question

In the given figure, PQ||SR. If x=3/5y and y=5/7z, find the values of x, y and z.​

Answer 1

Answer:

Step-by-step explanation:

Please note I have used ' < ' to show angles.

<RPQ = <PRS (Alternate Angles)

So, <z + <y + <RPQ = 180  ( Angle Sum Property of Triangles)

=>  <z + <y + <x = 180

Here,

y = 5/7 z

x = 3/5y

=>  x = 3/5  *  5/7 z  ( y = 5/7 z)

=> x = 3/7 z

Substituting values into the equation

=>  z +  5/7 z + 3/7 z = 180

=>  7/7 z + 5/7 z + 3/7 z = 180

=>  15/7 z = 180

=>  z = 180 * 7/15

=> z = 12 * 7

=> z = 84

y = 5/7 z

=>  y = 5/7 * 84

=>  y = 60

x = 3/7 z

=>  x = 3/7 * 84

=>  x = 36

So, z = 84 , y = 60 , x = 36