Question

Find the value of each variable in the following parallelograms.​

Answer 1

Answer:

x = 15

y = 7.5

Step-by-step explanation:

✔️Diagonals of a parallelogram bisect each other at 90°.

Therefore,

2x° + 60° + 90° = 180° (sum of triangle)

Solve for x

2x + 150 = 180

2x = 180 - 150

2x = 30

2x/2 = 30/2

x = 15

✔️2x = 4y (alternate angles/corresponding angles)

Plug in the value of x

2(15) = 4y

30 = 4y

30/4 = y

7.5 = y

y = 7.5