Geometry question???????1)Quadrilateral PQRS is a rectangle with diagonals PR and QS.If angle 1=18, find the measures of angle 2,angle 3 and angle 4 So I think angle 4 is also =18 but I have no...

Geometry question???????

1)Quadrilateral PQRS is a rectangle with diagonals PR and QS.If angle 1=18, find the measures of angle 2,angle 3 and angle 4
So I think angle 4 is also =18 but I have no idea what the other angles are or how I would find out???
Please help me with this..

Asked on by dancenancy

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kjcdb8er | Teacher | (Level 1) Associate Educator

Posted on

There are several disconnects in your problem. A quadrilateral is any 4-sided polygon. A rectangle is a quadrilateral where every angle is 90 degrees. So your problem statement that PQRS is a rectangle and that angle 1 is 18 degrees is contradictory.

Also, you would need more information about the length of the sides, or the lengths of PR and QS. Just knowing one angle does not uniquely determine the remaining angles of the quadrilateral. The sum of the interior angles of any quadrilateral sum to 360 degrees. This means that three of the angles are independent.

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