Question

find the value of x.

x =
submit

Explanation:

Step1: Use the angle - difference formula

The measure of an angle formed by two non - parallel lines and an arc is given by the formula: if we have an angle formed by two lines \(NK\) and \(NM\) with an arc, and another angle formed by lines \(NJ\) and \(NM\), the difference between the measures of the arcs is related to the angles. Here, we know that \(74^{\circ}-31^{\circ}=(2x - 5)^{\circ}\)

Step2: Simplify the left - hand side of the equation

First, calculate \(74 - 31\).
\(74-31 = 43\), so the equation becomes \(43=(2x - 5)\)

Step3: Solve for \(x\)

Add \(5\) to both sides of the equation: \(43 + 5=2x-5 + 5\)
\(48 = 2x\)
Divide both sides by \(2\): \(x=\frac{48}{2}\)

Answer:

\(24\)