Final answer:
The measure of angle M in triangle VPM is 50 degrees.
Step-by-step explanation:
In triangle VPM, the sum of the angles is always 180 degrees. Angle V is given as 52 degrees and angle P is given as 78 degrees. To find the measure of angle M, we can use the equation:
angle V + angle P + angle M = 180
Substituting the given values, we have:
52 + 78 + angle M = 180
Simplifying the equation:
130 + angle M = 180
Subtracting 130 from both sides:
angle M = 50
Therefore, the measure of angle M is 50 degrees.