Find the value of the variable. The diagram is not to scale.

24°

Explanation:

The unknown variable is x;

  Now to find this parameter, we must understand that the sum of angles in a triangle is 180°.

The base triangle has two given angles already.

Now, the angle 110° is vertically opposite one of the interior angles.

 Therefore;

           110°  + 46° + x°  = 180°

                               x°  = 180°  - (156)

                               x°  = 24°

The value of angle x° is 24°

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