Two angles of a triangle have ratio 7:3, and their difference equals the third angle. What is the smallest angle, in degrees, of the triangle?
Options
A) 90/7	B) 150/7	C) 270/7	D) 300/7	E) 350/7
The angles of the triangle are 7x, 3x, and (7x-3x)=4x for some value x (due to the ratio) [note that 3x is the smallest angle]   the angles of a triangle add up to 180, so   7x+3x+4x  (7 -3 )= 
<gadget id="calculator">  (7 -3 )</gadget>
<output>4</output>
4x for some value x (due to the ratio) [note that 3x is the smallest angle]   the angles of a triangle add up to 180, so   7x+3x+4x=180   14x=180   x=180/14   x=90/7   the smallest angle is 3x so 3*(90/7) = 270/7   270/7
<result>C</result>
Two angles of a triangle have ratio 7:3, and their difference equals the third angle. What is the smallest angle, in degrees, of the triangle?