SOLUTION: In rectangle PQRS, the ratio of angle PSQ to angle PQS is 1:5. What is the size of angle QSR?

Question 946502: In rectangle PQRS, the ratio of angle PSQ to angle PQS is 1:5. What is the size of angle QSR?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
both angles become acute angles in a right triangle.

if angle PSQ is equal to x, then angle PQS is equal to 5x.

since they are acute angles of a right triangle, their sum has to be equal to 90 degrees.

you get x + 5x = 90 which becomes 6x = 90 which becomes x = 15.

PSQ is equal to 15 degrees.
PQS is equal to 75 degrees.
their sum is 90
the ratio of PSQ to PQS is 15 to 75 which reduces to 1 to 5 because 75 / 15 is equal to 5.

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