Question

solve for m∠nop.

Explanation:

Step1: Observe the angle relationship

We know that the sum of angles around a point is 360°. Here, we assume the angle ∠NOP is what we need to find, and we are given two other angles with a common vertex O.

Step2: Set up the equation

Let ∠NOP = x. If we assume the two - given angles are 74° and 94°, and since the sum of angles around a point O is 360°, we have the equation \(x + 74^{\circ}+94^{\circ}=360^{\circ}\).

Step3: Solve for x

First, simplify the left - hand side: \(x+168^{\circ}=360^{\circ}\). Then, subtract 168° from both sides of the equation: \(x = 360^{\circ}-168^{\circ}\). So \(x = 192^{\circ}\).

Answer:

192