Question

I will give barinest if solved

Answer 1

Answer:

$x=19$

Step-by-step explanation:

$We\ are\ given\ that,\\Line\ YZ\ ||\ ZW\\\angle XYM=90\\Hence,\\Line\ Segment\ XY\ being\ the\ transversal,\ cuts\ YZ\ and\ XW.\\Hence,\\We\ know\ that\\The\ set\ of\ co-interior\ angles [Interior\ angles\ on\ the\ same\ side\\ of the\ transversal]\ are\ supplementary.\\Hence,\\Here,\\The\ pair\ of\ co-interior\ angles\ formed\ are\ \angle XYZ\ and\ \angle YXW.\\Hence,\ they\ are\ supplementary\ too.\\Hence,\\\angle XYZ\ + \angle YXW= 180\\Hence, by\ substituting\ XYZ=90+2x,\angle YXW=3x-5$$90+2x+(3x-5)=180\\85+5x=180\\5x=180-85\\5x=95\\x=19$