Question 935959: In quadrilateral NOPQ, < POQ =70 and < PQN = 135. Find < ONQ
Drawing looks like a kite with diagonals drawn but nothing in the problem claims it's a kite or parallelogram or anything but quadrilateral.
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! A quadrilateral is a four sided polygon; so, it can be a parallelogram (2 pairs of parallel sides), a square (2 pairs of parallel sides), rectangle(2 pairs of parallel sides) , rhombus (2 pairs of parallel sides), trapezoid (1 pair of parallel sides) , kite (no parallel sides).
so, if looks like a kite, then IS kite
A kite is a quadrilateral with two pairs of adjacent,  sides.
The angles between the congruent sides are called vertex angles . The other angles are called non-vertex angles .
The opposite angles at the endpoints of the cross diagonal are congruent.
given:
NOPQ, <  and < 
if < then <  as the opposite angles at the endpoints of the cross diagonal
so, <  will be <  => <
=> <
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