Question

Help i’m begging plsss

Answer 1

`x=8`

Explanation:

Given

`AB||CD`

`\angle ABC = 5x + 50`

`\angle BCD = 7x + 34`

Required

Find x

If
`AB||CD` i.e. If AB is parallel to CD, then

`\angle ABC = \angle BCD`

Substitute values for ABC and BCD

`5x + 50 = 7x + 34`

Collect Like Terms

`5x - 7x = -50 + 34`

`-2x = -16`

Multiply through by
`-(1)/(2)`

`-(1)/(2) * -2x = -16 * -(1)/(2)`

`(1)/(2) * 2x = 16 * (1)/(2)`

`(2x)/(2) = (16)/(2)`

`x = (16)/(2)`

`x=8`