SOLUTION: 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 anyth

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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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