Question

Please solve for X?

Answer 1

`x=22^circ`

Explanation:

Since `vec(SV) || vec(RU)`
`rArr /_SVR=/_VRU (=x)` ...opposite angles of traversal of two parallel lines

`/_VSR+/_SRV+/_VRU=180^circ` ...sum of interior angles of a triangle.

`(5x+4^circ)+(44^circ)+(x)=180^circ` ...using supplied and derived values

`6x+48^circ=180^circ` ...from here on, simplification and common algebraic manipulation

`6x=132^circ`

`x=22^circ`

Answer 2

`x=22^@`

Explanation:

.

Since `SV` and `RU` are parallel,

`/_VSR + /_SRU =180^@`

as they would be in a parallelogram because the sum of each two consecutive angles in a parallelogram is `180^@`. Now, we can substitute the given measures into this equation and solve for `x`:

`5x+4+44+x=180^@`

`6x+48=180^@`

`6x=180-48`

`6x=132^@`

`x=132/6=22^@`