SOLUTION: angle PQR is adjacent to angle RQS angle PQS is 180 degrees and angle PQR is 10 degrees Find the measure of angle RQS ----------- -------- this is the last one. we had a sub

Algebra ->  Angles -> SOLUTION: angle PQR is adjacent to angle RQS angle PQS is 180 degrees and angle PQR is 10 degrees Find the measure of angle RQS ----------- -------- this is the last one. we had a sub      Log On


   

Question 237409: angle PQR is adjacent to angle RQS
angle PQS is 180 degrees and angle PQR is 10 degrees
Find the measure of angle RQS
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this is the last one. we had a sub teacher at school today and i dont understand this. Thank you so much.
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Adjacent angles means they are next to each other, sharing on side. We are talikng about a semi circle or a full circle here.
If this problem pertains to a full circle, then...
A full circle = 360 degrees, thus a half a circle = 180 degrees.
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Knowing this, you now know:
a. Angle PQS is 180 degrees,
b. Angle PQR is 10 degrees, and
c. both angles are adjacent.
.
Total degrees are 190. So, 360 degrees - 190 degrees = 170 degrees.
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Assuming we're talking about a full circle, which your problem doesn't specify, Angle RQS would then be 170 degrees.
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Hint: in problems like this one where angles are adjacent, always write down the measurements you know. Then figure out the difference.