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in a parallelogram one angle is 9 times the size of another. find the measures of the angles

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MattDid
The parallelogram angle alpha and beta form 180 degrees (angles on one basis).
[tex]\alpha+\beta=180[/tex]
[tex]\beta=9\alpha[/tex]
[tex]9\alpha+\alpha=180[/tex]
[tex]10\alpha=180|:10[/tex]
[tex]\alpha=18[/tex]
[tex]\beta=180-18=162[/tex]
AL2006id
If you pick any two angles out of a parallelogram, either they're equal, or else they add up to 180 degrees.

Call the smaller angle 'A'.  Then the bigger one is '9A' .
Their sum is 180 degrees.

10A = 180

Divide each side by 10 :

A = 18

One angle is 18 degrees.
The other one is 9 x 18 = 162 degrees.

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