Question

Using the information, given in each of the following figures, find the values of $a$(in degrees)

Answer 1

In $△ACE$,
Given, $AC=EC$
$\angle AEC=\angle EAC=x$ (Isosceles triangle property)
Sum of angles of triangle = 180
$\angle AEC+\angle EAC+\angle ACE=180$
$x+x+68=180$
$x={56}^{\circ }$
Now, $a=\angle EAC+\angle ECA$ (Exterior angle property)
$a=56+68$
$a={124}^{\circ }$