Question

In parallelogram GHIJ, m∠G=(5y)°, m∠H=(5x)°, and m∠J=(3y)°.

What are the values of x and y?

x =
y =

Answer 1

x=13.5

y=22.5

Explanation:

Answer 2

As it's a parallelogram

`\\ \sf\longmapsto 5y+3y=180`

`\\ \sf\longmapsto 8y=180`

`\\ \sf\longmapsto y=180/8`

`\\ \sf\longmapsto y=22.5`

Now

`\\ \sf\longmapsto 5x=3y`

`\\ \sf\longmapsto 5x=3(22.5)=67.5`

`\\ \sf\longmapsto x=67.5/5`

[/tex]

`\\ \sf\longmapsto x=13.5`