<PRE><B>Question 717041</B>
&lt;pre&gt;
in the accompanying diagram of parallelogram ABCD, m angle B=5x, and m angle c=2x+12. 
Find the number of degrees in &lt; d.

Is this the right approach? {{{2x+12+5x=180}}}
                             {{{12+6x=180}}}
                               {{{6x=168}}}
                                {{{x=28}}}

then
                 {{{B=5x=5(28)=140}}}
and then  angle d is equal or congruent to angle B so the answer is 140

    2x + 12 + 5x = 180
         7x + 12 = 180
              7x = 168  &lt;=== Should be THIS, instead of 6x = 168  
So, &quot;x&quot; actually = {{{168/7}}} = 24&lt;sup&gt;o&lt;/sup&gt;

     So, &amp;#8736B = 5x = 5(24&lt;sup&gt;o&lt;/sup&gt;) = 120&lt;sup&gt;o&lt;/sup&gt;

As opposite &amp;#8736s of a parallelogram are CONGRUENT, &lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;&amp;#8736B = &amp;#8736D = 120&lt;sup&gt;o&lt;/sup&gt;&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;, also.&lt;/pre&gt;</PRE>