Question

Solve fir X in the equation?

Answer 1

First, find the missing angle of the triangle. Remember that the internal angles of a triangle should add up to 180°, then, the missing angle is given by:

`180-64-27=89`

On the other hand, the angle of 89° plus the angle of (97+x)° should add up to 180 since they are adjacent angles on a straight line. Then:

`89+(97+x)=180`

Solve for x:

`\begin{gathered} \Rightarrow89+97+x=180 \\ \Rightarrow186+x=180 \\ \Rightarrow x=180-186 \\ \Rightarrow x=-6 \end{gathered}`

Therefore, the value of x is:

`-6`