Parallelogram ABCD what are the values of a x and y

Value of x = 3

Value of y = 6

Value of a = 12

Step-by-step explanation:

Given:

Length of BC = 5x + 4

Length of AD = 7x - 2

Length of AB = 2y + 1

Length of CD = 3y - 5

Angle B = (5a - 3)°

Angle D = (4a + 9)°

Find:

Value of a, x and y

Computation:

We know that ABCD is a parallelogram

So,

Length of BC = Length of AD

5x + 4 = 7x  - 2

Value of x = 3

Length of AB = Length of CD

2y + 1 = 3y - 5

Value of y = 6

Angle B = Angle D

(5a - 3) = (4a + 9)

Value of a = 12

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step-by-step explanation:

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get