SOLUTION: Angle A and B form a linear pair. ( they are supplementary.) find the measure of each angle if their measures are represented by the given expression. m angle A=w,m angle B =

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Question 116497: Angle A and B form a linear pair. ( they are supplementary.) find the measure of each angle if their measures are represented by the given expression.
m angle A=w,m angle B = w - 30
Answer by MathLover1(20850) About Me  (Show Source):
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Angle A and B form a linear pair. (they are supplementary)

Given:
A=w
B+=+w+%96+30%B0
If angles A and B are supplementary, their measurements add up to 180%B0 degrees
So, we will have:
A+%2B+B+=+180%B0………..plug in values for A and B
+w+%2B+w+%96+30%B0+=+180%B0
+2+w+%96+30%B0+=+180%B0……..move -30 to the right

+2+w+=+180%B0+%2B+30%B0
+2+w+=+210%B0
++w+=+105%B0………………this will be m of angle A
B+=+w+%96+30%B0
B+=+105%B0+%96+30%B0
B+=+75%B0……………………. this will be m of angle B

Check:
A+%2B+B+=+180%B0……….plug in A and B
105%B0%2B+75%B0+=+180%B0……….
180%B0+=+180%B0……….