Question

How would I do this and what is the answerFirst one (x-1) and the second is 5x+1

Answer 1

The two angles are what we call a linear pair because they form a straight angle when joined.

The sum of the angles in a linear pair is 180°.

Hence, we can say that:

`(x-1)+(5x+1)=180`

From this, we can solve for x.

Add x and 5x. Add -1 and 1.

`6x+0=180`

Divide both sides by 6.

`\begin{gathered} (6x)/(6)=(180)/(6) \\ x=30 \end{gathered}`

Therefore, the value of x is 30. (Option C).