Question

In circle O, mPN= 131°. Solve for x if m

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: state the required theorem

The arc measure is equal to the angle at the center. Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc.

STEP 2: Get the equation

`131^(\circ)=6x+26`

STEP 3: Solve for x

`\begin{gathered} 131=6x+26 \\ 131-26=6x \\ 105=6x \\ (6x)/(6)=(105)/(6) \\ x=17.5 \end{gathered}`

Hence, the value of x is