Question 481179
<pre>

Hey, don't use < for an angle for if you put anything just to the
right of it it will delete it.  Use 6 & # 8 7 3 6 ; (without the spaces) instead.


&#8736;a = 2&#8736;b = 6&#8736;c

Get &#8736;a and &#8736;b in terms of &#8736;c

&#8736;a = 6&#8736;c   <--- that's &#8736;a in terms of &#8736;c

2&#8736;b = 6&#8736;c

so

&#8736;b = 3&#8736;c   <--- that's &#8736;b in terms of &#8736;c


Substitute in

  &#8736;a + &#8736;b + &#8736;c = 180°

6&#8736;c + 3&#8736;c + &#8736;c = 180°

           10&#8736;c = 180°

Divide both sides by 10

             &#8736;c = 18°

and since &#8736;b = 3&#8736;c

            &#8736;b = 3(18°)
            &#8736;b = 54°

and since &#8736;a = 6&#8736;c

            &#8736;a = 6(18°)
            &#8736;b = 108°

Edwin</pre>