Question

In the parallelogram below, solve for x.
D (9x + 5)
E
G
F (13 - 43y

Answer 1

`x = 12`

Explanation:

Given

`\angle D = 9x + 5`

`\angle F = 13x -43`

Required

Find x

To find x, we make use of:

`\angle D =\angle F` --- opposite angles of a parallelogram

So, we have:

`9x + 5 =13x -43`

Collect like terms

`9x - 13x = -5-43`

`-4x = -48`

Divide by -4

`x = 12`