Question

In fiq. AB divides $\angle DAC$ in the ratio 1:3 and AB$=$DB. Determine the value of x.

Answer 1

REF.Image

AB divides $\angle DAC$ in the ratio $1:3$

and $AB=DB$

$\angle EAC={108}^{\circ }$

Let $\angle DAB=x$ and $\angle BAC=3x$ (Given)

$x+3x+\angle EAC={180}^{\circ }$

$\Rightarrow 4x+108={180}^{\circ }$

$\Rightarrow 4x={180}^{\circ }-{108}^{\circ }$

$\Rightarrow 4x={72}^{\circ }$

$\Rightarrow x=72/4$

$\therefore x={18}^{\circ }$