Question 139952
Notice how angle x and 135 degrees form a 180 degree angle. So this means that 


{{{x+135=180}}}




{{{x+cross(135-135)=180-135}}}Subtract 135 from both sides



{{{x=45}}} Combine like terms on the right side




Also, notice how angle x and angle y also form a 180 degree angle. So 


{{{x+y=180}}}


But we know what x is, so plug in the value of x



{{{45+y=180}}} Plug in {{{x=45}}} 





{{{y=180-45}}}Subtract 45 from both sides



{{{y=135}}} Combine like terms on the right side





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Answer:



So the values are 


{{{x=45}}} and {{{y=135}}}