SOLUTION: If the adjacent angles of a parallelogram are in the ratio 2:7 then the smaller of the two angles is of measure a) 50 degree b) 60 degree c) 20 degree d) 40 degree

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Question 927900: If the adjacent angles of a parallelogram are in the ratio 2:7 then the smaller of the two angles is of measure a) 50 degree b) 60 degree c) 20 degree d) 40 degree
Found 3 solutions by Techpriest, stanbon, MathTherapy:
Answer by Techpriest(29) About Me  (Show Source):
You can put this solution on YOUR website!
We know that adjacent angles OF a paralleogram will add up to 180 or be supplementary. Assuming on that we will express the smaller angle as 2x and the larger angle as 7x as we know that for every two degree in the smaller angle, there is 7 degree in the larger angle. Since we know adjacent angles will add up to 180, we will use this equation.
2x = smaller angle
7x = larger angle
+2x+%2B+7x+=+180+
+9x+=+180+ Combine like terms.
+9x%2F9+=+180%2F9+ Division Property of Equality
+x+=+20+ Simplify
Now that we know what the x value is. We will plug in the x-value for the smaller angle.
+2%2820%29+=+40+
So, the answer is D, this can be justified as when you plug in x for both value, they will add up to 180.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the adjacent angles of a parallelogram are in the ratio 2:7 then the smaller of the two angles is of measure a) 50 degree b) 60 degree c) 20 degree d) 40 degree
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The adjacent angles are supplementary.
Equation::
2x + 7x = 180
9x = 180
x = 20
----
2x = 40 degrees
7x = 140 degrees
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Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

If the adjacent angles of a parallelogram are in the ratio 2:7 then the smaller of the two angles is of measure a) 50 degree b) 60 degree c) 20 degree d) 40 degree
Consecutive angles of a parallelogram are supplementary 

Ratio: 2:7, or consists of 9 (2 + 7) parts

Thus, smaller angle = 2%2F9 of 180, or %282%2F9%29+%2A+180, or highlight_green%2840%5Eo%29 (CHOICE D)

You can do the check!! 

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