Question

Help me with my algebra review? WVXU is a parallelogram. m<V = 2x + 86 and m<U = x + 94. W is equiangular to U. Find m<W.

Answer 1

`/_W = 94^@`

Explanation:

We know that WVXU is a parallelogram. Then, by naming convention (you always write down the angles clockwise or counterclockwise in order), we know that `/_W = /_X` and `/_V = /_U` since opposing corners in a parallelogram are the same size angles.

I realize at this point that the problem doesn't make any sense (all the angles would be the same size and the equations don't make sense) so I'll assume the naming convention wasn't followed.

Instead, we'll assume that `/_W = /_U` and `/_V = /_X`, which makes more sense.

Then, we are given:
`/_V = 2x + 86`
`/_U = x + 94`
`/_W = /_U`

Parallelograms have this property that the sum of two angles next to each other is `180^@`. Therefore, since `/_V and /_U` are next to each other (`/_W` and `/_U` are opposite, `/_V` and `/_X` are opposite), we can do

`/_ V + /_ U = 2x + 86 + x + 94 = 180`
`3x + 180 = 180`
`x = 0`
`/_ W = /_ U = x + 94 = 94^@`
`square`

An image here would've been nice to nail down the angle labels.