Question

Measures of some angles in the figure are given then $\frac{AP}{PB}=\frac{AQ}{QC}$

• A. True
• B. False

Answer 1

The correct option is A True

In $△ABC,$

$\angle APQ\cong \angle ABC={60}^o$

But this angles are corresponding angles

$\therefore$ seg $PQ\parallel$ seg $BC$ [ By converse of corresponding angle theorem ]

$\Rightarrow$ $\frac{AP}{PB}=\frac{AQ}{QC}$ [ By B.P.T ]