In the diagram below, point U is on segment 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$
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OpenStudy (scott208):
OpenStudy (scott208):
@welshfella
OpenStudy (scott208):
@mathstudent55
OpenStudy (welshfella):
First let measure of angle GUY = x
then <BUG = x + 30
these 2 angles are on a straight line so their measures add up to 180 degrees
so form an equation and solve for x.
OpenStudy (scott208):
well could they be 155 and 125 because those are 30 degrees apart and they add up to 180
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OpenStudy (scott208):
SHOOT WAIT THATS 280 NEVER MIND
OpenStudy (welshfella):
x + x + 30 = 180
OpenStudy (scott208):
180-30 150. 150/75 ?
OpenStudy (welshfella):
wher's the x???
OpenStudy (scott208):
hold on 2x=150 150/2=75. isnt that how you do it?
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OpenStudy (welshfella):
yes
so < GUY = 75 degrees
OpenStudy (welshfella):
2x + 30 = 180
2x = 150
x = 150/2 = 75
- best to put each step on a new line.
OpenStudy (scott208):
good to know for the future and thank you! ive been stuck on that q for a while