Question

Given lmn, find the value of x.

Answer 1

Presuming that the lines l, m and n are parallel and intersecting a single line, the angles measuring 132° and (x + 13)° appears to be a pair of Alternate Interior Angles.

Under this relationship, the two angles must be congruent.

Therefore,

`\text{ (x + 13)}^(\circ)=132^(\circ)`

Let's determine the value of x,

`\text{ (x + 13)}^(\circ)=132^(\circ)`
`x^(\circ)\text{ + 13}^(\circ)=132^(\circ)`
`x^(\circ)\text{ }=132^(\circ)\text{ - 13}^(\circ)`
`x^{}\text{ }=119^(\circ)`

Therefore, x = 119°