<PRE><B>Question 230870</B>
You must remember that the sum of the interior angles of a triangle equals 180 degrees. 
So, if you have two angles that are the same and measure {{{ 1/4 }}} of the third, begin by naming the third angle x
{{{ x + 2(1/4)x = 180 }}} simplify
{{{ x + (2/4)x = 180 }}} find least common denominator to combine like terms
{{{ (4/4)x + (2/4)x = 180 }}}
{{{ (6/4)x = 180 }}} now solve for x by multiplying both sides by {{{ 4/6 }}}
{{{ (4/6)(6/4)x = (4/6)(180) }}}
x = 120 so the third angle measures 120 degrees, now solve for the other 2 angles
{{{ (1/4)*120 }}} = 30
So the other two angles are 30 degrees
CHECK:
The sum of the interior angles is 180
120 + 30 + 30 = 180
180 = 180</PRE>