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ABCD is a parallelogram ABC =3a and BCA =2a

Calculate the value of a​

User Kanishk
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1 Answer

6 votes

Answer:

In a parallelogram, opposite angles are equal. Therefore, abc = cda and bca = dcb

Given abc = 3a and bca = 2a,

We know that cda = abc = 3a (opposite angles of a parallelogram)

Also, dcb = bca = 2a (opposite angles of a parallelogram)

The sum of all angles of a quadrilateral is 360 degrees.

Therefore, abc + bca + cda + dcb = 360 degrees

Substituting the values we have, we get:

3a + 2a + 3a +2a = 360

10a = 360

a = 36

Therefore, the value of a is 36.

Explanation:

User RobertJoseph
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