In △XYZ, if XY = 5 cm, XZ = 7 cm and Q is a point on YZ such that XQ bisects ∠X, then YQ : QZ is:

△XYZ with XY = 5 cm and XZ = 7 cm.

Q is a point on YZ such that XQ bisects ∠X.

According to the Angle Bisector Theorem, if a point Q lies on side YZ of △XYZ such that XQ bisects ∠X, then:

​$$\frac{YQ}{QZ} = \frac{XY}{XZ}$$​​

Solution:  

Substituting the values of XY and XZ:

​$$\frac{YQ}{QZ} = \frac{5}{7}$$​​

Thus, The ratio YQ : QZ is 5 : 7.