Question

Find the measure of angle x in the figure below:

Answer 1

Total measure of angles in triangle equals 180°.
55°+55°=110°
180°-110°=70°

So the missing angle in bottom triangle is 70°.
x=70°

Because x with third angle in bottom triangle creates vertical angle.

:)

Answer 2

First of all, it is known that adding together all the angles of a triangle they have to make 180degrees.
On the lower triangle we know two angles which added together make 110 degrees, which means that the third angle is 70 degrees. There is also a law that the opposite angles of a cross are the same. So the angle is 70degrees.