Question

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

Answer 1

SOLUTION

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

$\begin{gathered} 131=6x+26 \\ 131-26=6x \\ 105=6x \\ \frac{6x}{6}=\frac{105}{6} \\ x=17.5 \end{gathered}$

Hence, the value of x is