Final answer:
The value of x is found by equating the expression (2x + 7)° to 37°, which results from bisecting the 74° angle of ZPMN, and solving the linear equation for x.
Step-by-step explanation:
The student asked for assistance in finding the value of x based on the given information about angles in a geometrical figure. Since Mo bisects ZPMN, the angle ZPMN is split into two equal angles. The measure of ZPMN is given as 74°, so each of the two equal angles must be half of 74°, which is 37°. According to the question, mZOMN is equal to (2x + 7)°. Since mZOMN is also 37°, this leads us to the equation 2x + 7 = 37. Solving for x would give us x = 15°, as we subtract 7 from both sides and then divide by 2.