Question

In fig., if

AB CD   , CD EF

and ∶ = 3 ∶ 7, find .​

Answer 1

Step-by-step explanation:

PQ straight line, intersects

AB||CD]|EF at points R, S, T.

If y : z = 3 : 7, then value of ‘x’ = ?

PQ straight line intersects CD||EF at S and T.

∴ ∠CSR = ∠DST = y (∵ vertically opposite angle)

But, ∠DST + ∠STF = 180° (∵ Sum of interior angles in the same side)

∴ y + z = 180° But,

y : z = 3 : 7

Sum of ratio 3 + 7 = 10

If ratio 10 means 180 If ratio 9 means ?

180×310180×310 = 54° ∴ y = 54°

y + z = 180 54 + z = 180

∴ z = 180 – 54 ∴ z = 126° But,

x + y = 180 (∵ Sum of interior angles on one side)

x + 54 = 180

∵ x = 180 – 54

∵ x = 126°.