Question

Find the value of $x$ in the adjoining figure.

Answer 1

$\because AB=AC$

$\therefore \angle ABC=\angle ACE$ ---------(1)

$\angle ACD+\angle ACB={180}^o$

${125}^o+\angle ACB={182}^o$

$\angle ACB={55}^o$

In $△ABC$

$x+\angle ABC+\angle ACB={180}^o$

$x+{55}^o+{55}^o={180}^o$ (by eqn 1)

$x+{110}^o={180}^o$

$x={70}^o$