Question

ABCD is a parallelogram if its diagonals are equal find the value of A, B, C ​

Answer 1

Answer:

Since ABCD is a parallelogram. Therefore,

AB = CD and AD = BC

Thus, in triangle s ABD and ACB,

AD = BC

BD = AC

AB = AB

So, by SSS criterion of congruence, triangle ABD cong triangle AC

Therefore, angle BAD= angle ABC

Now, ADIIBC and transversal AB intersects them at A and B respectively.

Therefore,

angleBAD+ C = 180 degrees

angle ABC+ angle ABC=180

2angleABC=180°

angleABC-90°

Hence, the measure of angle ABC is 90°

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Answer 2

Answer:

A = C and B = D

Step-by-step explanation:

of diagonals of a parallelogram are equal then it is a rectangle (rule).

and opposite sides of a rectangle are equal (property)

thus, A = C and B = D and all angles are 90° in measure

we can't conclude anything else unless more information is given.

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