Question

Find $x^o,y^o,z^o$ from the figure, where $AB=BD,BC=DC$ and $\angle DAC={30}^o$

Answer 1

Given :

$AB=BD,BC=DC$

$\angle DAC=30°$

$\angle DAC=x$ (Angle opposite to equal side)

$\therefore x=30°$

$y=x+\angle DAC$ (Exterior angle of $△ABD$)

$y=30°+30°=60°$

$\angle z=\angle y$ (Angle opposite to equal side)

$\angle z=60°$

$\therefore x=30°,y=60°,z=60°$