Find the larger angle of the parallelogram if the two angles are at 7:65.

Let 7x be the smaller angle of the parallelogram;

Then 65x is the larger angle of the parallelogram;

Since the sum of the unequal angles of the parallelogram is 180 °, we get the equation:

7x + 65x = 180;

72x = 180;

x = 180/72;

x = 2.5;

7x = 17.5;

65x = 162.5;

Answer: The larger angle of the parallelogram is 162.5 °.



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