Question

In the given figure, ABCD is a parallelogram. Find the value of x and y. please give me answer step by step ​

Answer 1

Answer:

x = 20 ; y = 50

Step-by-step explanation:

Given,

AB = BC = CD = DA ; ∠ABC = ∠ADB = 2y + 5 ; ∠BAD = 3x + 15

= ∠BCD = 2x + 35

To find,

x = ? ; y = ?

Therefore,

∠ADB = ∠BAD

3x + 15 = 2x + 35 ( Given )

3x - 2x = 35 - 15

x = 20

Now,

∠ABC + ∠BAD = 180° ( Adjacent angles of a parallelogram are equal )

Therefore,

( 3x + 15 ) + ( 2y + 5 ) = 180°

Substituting the value of x,

60 + 15 + 2y + 5 = 180°

80 + 2y = 180°

2y = 180 - 80

y = 100/2

y = 50

Therefore,

x = 20 ; y = 50