In the diagram below, point U is on segment \(\overline{BY}\) and the measure of \(\angle BUG\) is 30 degrees greater than the measure of \(\angle GUY\): How many degrees are in the measure of \(\angle GUY\)?
BUG and GUY form a straight line....so they sum to 180 o
and BUG is 30 + GUY
sooooo
30 + GUY + GUY = 180o Then just solve for GUY ......
Can you show me your work as to how you got 150 ?
30 + GUY + GUY = 180 GUY = ?
30+GUY+GUY=10 so GUY+GUY=150, and we can dvide both sides by 2, so GUY=75.