Question

ABCD is a parallelogram .find the value of a,b,c and d​

Answer 1

Answer:

HEY MATE HERE IS UR ANSWER

Step-by-step explanation:

in the triangle BCD the sum of all the angles is equal to 180 degrees

therefore,

3a+7a+2a=180

12a=180

a =180/12

a= 15

(I. e) 3a= 3(15)= 45

7a=7(15)=105

2a=2(15) =30

therefore angle A=angle C

( OPP. angles of a parallelogram are equal)

=> angle B = angle D

(OPP. angles of a parallelogram are equal)

therefore, 7a=c

=> c= 105

in a parallelogram OPP. sides are parallel and equal

therefore, AB is parallel to CD

and BD is a transversal

therefore angle d=2a

(alternate interior angles are equal)

=> d= 30

and also b=3a

(alternate interior angles are equal)

=> b= 45

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I hope this might helped you

thank you