Question 832635
Let the angles be {{{ x }}} and {{{ 180 - x }}}
Now I can say:
{{{ 5/4 = x/( 180-x ) }}}
Multiply both sides by {{{ 4*( 180-x ) }}}
{{{ 5*( 180-x ) = 4x }}}
{{{ 900 - 5x = 4x }}}
Add {{{ 5x }}} to both sides
{{{ 9x = 900 }}}
{{{ x = 100 }}}
and, also
{{{ 180 - x = 180 - 100 }}}
{{{ 180 - x = 80 }}}
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The larger angle is 100 degrees
check:
{{{ 5/4 = x/( 180-x ) }}}
{{{ 5/4 = 100/( 180-100 ) }}}
{{{ 5/4 = 100/80 }}}
{{{ 5/4 = 10/8 }}}
{{{ 5/4 = 5/4 }}}
OK