Gmat prep

[navalpike]

In the figure attached, what is the value of x?

55
60
65
70
75

Please show your thought process.

Thanks,

[PussInBoots]

We have two right triangles with 1 unknown side. Using the famous theorem we can find the lenght of 3rd sides - both are 5. Triangle has two equal sides, hence x = 180 - 2 * 55.