Question

In the given figure, ABCD is a parallelogram . Find the value of x and y ​

Answer 1

Answer:

x=20,y=35

Step-by-step explanation:

3x+15=2x+35(opp angles of a parallelogram r equal)

3x-2x=20

x=20

2x+35=2y+5(parallel angles r equal)

2(x-y)= -30

substituting x in this equation

2(20-y)= -30

40-2y = -30

70 =2y

y=35

Answer 2

Answer:

angle A = angle C.

reason:-opposite angles of parallelogram are equal.

3x + 15 = 2x + 35

3x-2x=35-15

x= 20

Angle B + Angle c = 180

reason:- Allied angle or co-interior angles.

2y + 5 +2x+35 =180

2y +40 +2*20=180

reason:- x=20

2y+40 +40=180

2y +80 =180

2y =180 -80

y =100/2

y=50

Step-by-step explanation:

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