SOLUTION: (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 w

Algebra.Com
Question 351960: (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...

Answer by jrfrunner(365)   (Show Source): You can put this solution on YOUR website!
you say the quadrilateral is a rectangle, which would contradict the angle 1 being 18 degrees, since a rectangle is defined as all angles being 90.
--
If it is a parallelogram, then you can say that opposing angles are equal and in that case angle 4 is 18, angle 2 =180-18=162 and so is angle 3
--
NOt sure how you can get one angle to be 18 in a rectangle.

RELATED QUESTIONS

1)Quadrilateral PQRS is a rectangle with diagonals PR and QS.If angle 1=18, find the... (answered by Fombitz)
A quadrilateral PQRS has PQ = 18, QR = 50, RS = 45 and diagonal QS = 30. If QS bisects... (answered by greenestamps)
if PQRS is a rectangle, PR=9x+1, and QS=13x-11, find... (answered by ikleyn)
If PQRS is a rectangle, PR=9x+1, and QS=13x-11, find... (answered by CubeyThePenguin)
1) ABCD is a parallelogram if AB = 2 AD and P is the midpoint of AB.prove that angle CPD... (answered by orca)
In a quadrilateral PQRS, the sides PQ and SR are parallel, and the diagonal QS bisects... (answered by KMST)
Quadrilateral QRST is a rectangle. RT = 5x + 1 and QS = 6x – 3. Find... (answered by ewatrrr)
PQRS is a quadrilateral of which the diagonals PR and QS intersect at X so that PX=XQ and (answered by Edwin McCravy)
Can someone help me with this question? Suppose that PQRS is a rhombus, with PQ = 12... (answered by brysca)