Find the value of x in the figure below

Question

anonymous · Answer

|dw:1401559063077:dw|

anonymous · Answer

Could someone please explain how to get the answer?

imstuck · Answer

I can!  The measure of the angle is found by taking half of the sum of the given angles and dividing it by 2.  Here, however, you have the angle you're looking for as 5x - 6.  S here's how you set it up.$$m A =\frac{ 1 }{ 2 }(x+y)$$You would then fill in what you are given.$$5x-6=\frac{ 1 }{ 2 }(37 + 101)$$Can you solve for x from here?  If not, let me know and I'll help you do it.

anonymous · Answer

@IMStuck thank you so much! I figured it out once you showed me the formula. Thanks again!