<PRE><B>Question 702282</B>
&lt;br&gt;&lt;font face=&quot;Tahoma&quot;&gt;Supplementary angles must add up to 180 degrees.&lt;br&gt;

So we have:&lt;br&gt;

Eq 1: {{{x+y=180}}} given&lt;br&gt;

Eq 2: {{{y=32+x}}} given&lt;br&gt;

Let&#39;s substitute the value for y in Eq 2 into Eq 1:&lt;br&gt;

{{{x+(32+x)=180}}}&lt;br&gt;

{{{2x+32=180}}}&lt;br&gt;

{{{2x=148}}}&lt;br&gt;

{{{x=74}}}&lt;br&gt;

Let&#39;s substitute this value for x into Eq 2:&lt;br&gt;

{{{y=32+x}}}&lt;br&gt;

{{{y=32+74}}}&lt;br&gt;

{{{y=106}}}&lt;br&gt;

So angle x is 74 degrees, and angle y is 106 degrees.&lt;br&gt;

Check it, it works!&lt;br&gt;

I hope this helps!  Keep practicing!  :)&lt;br&gt;

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