Question

In fig. AB II CD,CD Il EF and y:z =3:7 then f value of x is:​

Answer 1

HI DEAR...

Thus, If AB || CD, CD || EF, we can say AB || EF.

Therefore, the angles x and z are alternate interior angles and hence are equal.

x = z.......(1)

AB and CD are parallel lines cut by a transversal. So the co-interior angles formed are supplementary.

x + y = 180°.

Since x = z,

We get y + z = 180°......... (2)

 Let, y = 3a, z = 7a [Since, y : z = 3 : 7]

Substituting the values in equation (2),

3a + 7a = 180°

10a = 180°

a = 180°/10

a = 18°

∴ y = 3a = 3 × 18 = 54°

y = 54°

∴ x + y = 180°

x + 54° = 180°

x = 180° - 54°

x = 126°

Thus, x = 126°

HOPE IT HELPS.....