If two consecutive angles of a parallelogram are congruent what type of quadrilateral
is the given parallelogram?
1) Squ

2 thoughts on “If two consecutive angles of a parallelogram are congruent what type of quadrilateral<br />is the given parallelogram?<br />1) Squ”

1. Given : two consecutive angles of a parallelogram are congruent

   To Find : what type of quadrilateral is the given parallelogram

   1) Square

   2) Rectangle

   3) Rhombus

   4) All of these.​

   Solution:

   Parallelogram has opposite sides equal

   opposite angles equal

   sum of adjacent angles = 180°

   Let say ABCD is a parallelogram

   AB = CD

   BC = AD

   ∠A = ∠C and ∠B = ∠D

   ∠A + ∠B = ∠C + ∠D = 180°

   given that two consecutive angles of a parallelogram are congruent

   => ∠A = ∠B = ∠C = ∠D

   => ∠A = ∠B = ∠C = ∠D = 90°

   Now each angle = 90°

   and opposite sides are equal

   Hence this is a rectangle

   the given parallelogram is rectangle

   Learn More :

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2. Answer:

   D is the answer of this question

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