Answer;
WUV = 36
Explanation:
Here is what we get when we draw the figures
Now we know that the sum of the interior angles of a triangle must equal 180 degrees; therefore,
[tex](2x+8)+(3x+16)+y=180^o\text{ }[/tex]Also, angle y and VWX are supplementary; therefore,
[tex]y+(8x-18)=180^o[/tex]Now, solving for y in the above gives
[tex]y=180+18-8x[/tex][tex]y=198-8x[/tex]Putting this value of y in the first equation gives
[tex](2x+8)+(3x+16)+(198-8x)=180^o\text{ }[/tex]Expanding and simplifying the left-hand side gives
[tex]-3x+222=180[/tex]Subtracting 214 from both sides gives
[tex]-3x=-42[/tex]Finally, dividing both sides by -3 gives
[tex]x=14.[/tex]With the value of x in hand, we now find the measurement of WUV:
[tex]\angle\text{WUV}=2x+8[/tex][tex]\angle WUV=2(14)+8[/tex][tex]\angle\text{WUV}=36^o[/tex]Hence, WUV = 36,
