Question

Find the measure of angle x in the figure below:

Answer 1

the 3 angles of a triangle need to equal 180 degrees so in the bottom triangle 
y = 180 - 45 - 55 = 80 degrees

 angle X and Y are vertical angles so they would be the same so angle x = 80 degrees

Answer 2

The answer is x = 80 degrees! Hope This helps!