SOLUTION: Two consecutive angles of a parallelogram are in the ratio 4:5.How many degrees are there in each angle of the parallelogram?
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Question 1129631: Two consecutive angles of a parallelogram are in the ratio 4:5.How many degrees are there in each angle of the parallelogram?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
by definition, the sum of the angles for each quadrilateral is °
the sum of the consecutive angles of a parallelogram have to be equal to degrees
let = one of the angles and let = the other angle.
the ratio of one of these angles to the other is
this means that
solve for to get
then becomes
....solve for
then, =>
the sum of two consecutive angles is equal to
this confirms the solution is correct.
check the ratio:
=> proves that angles of a parallelogram are in the ratio
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