Question

I need help with this problem. ​

Answer 1

`x=6,\\m\angle 1=18^(\circ)`

Explanation:

Since the problem denotes the figure as a parallelogram,
`\overline{AB}` is parallel to
`\overline{DC}`. Therefore, angles 1 and 2 are equal (from corresponding angles and vertical angles).

Therefore, we have the following equation:

`m\angle 1=m\angle 2,\\x+12=6x-18,\\30=5x,\\x=\boxed{6}`

Substituting
`x=6`:

`m\angle 1=x+12=6+12=\boxed{18^(\circ)}`