Question

Need help in showing my child how to to thisFind the value of x?

Answer 1

Given,

The measure of two adjacent interior angles is x+121 degree and x+81 degree.

As known that,

The sum of adjacent interior angles between parallel line is 180 degree.

According to the question,

`x+121^(\circ)+x+81^(\circ)=180^(\circ)`

Simplifying the expression,

`\begin{gathered} 2x+202^(\circ)=180^(\circ) \\ 2x=-22^(\circ) \\ x=-11^(\circ) \end{gathered}`

Hence, the value of x is -11 degree.