SOLUTION: Can you please help me!
Prove: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a paralellogram.
I started it by saying:
Given: A
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-> SOLUTION: Can you please help me!
Prove: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a paralellogram.
I started it by saying:
Given: A
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Question 276811: Can you please help me!
Prove: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a paralellogram.
I started it by saying:
Given: Angle B is congruent to Angle D.
and Angle A is congruent to Angle C.
Prove: ABCD is a paralellogram.
Thank you so much!!! Answer by solver91311(24713) (Show Source):
The trick is to realize that the sum of the measures of the interior angles of any quadrilateral is 360°. So, if you have two congruent angles that each measure ° and two other congruent angles that each measure °, then the following equation must hold:
But if you divide by 2:
So now if you extend the sides of your quadrilateral past the vertices, then you can show that you have equal measure opposite interior angles formed by a transversal meaning that you have parallel lines.
