Question 1139697
{{{ 1/3 = A/B }}}
{{{ 3A = B }}}
{{{ C = A + 5 }}}
{{{ A + B + C = 180 }}}
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By substitution:
{{{ A + 3A + A + 5 = 180 }}}
{{{ 5A = 175 }}}
{{{ A = 35 }}}
and
{{{ C = A + 5 }}}
{{{ C = 35 + 5 }}}
{{{ C = 40 }}}
and
{{{ B = 3A }}}
{{{ B = 3*35 }}}
{{{ B = 105 }}}
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The angles are 35, 40, 105
check:
{{{ A + B + C = 180 }}}
{{{ 35 + 40 + 105 = 180 }}}
{{{ 180 = 180 }}}
OK