Answer:
Value of x = 3
Value of y = 6
Value of a = 12
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