For two vertical angles with measures m<1 = (4x + 26) and m<3 = (3x + 32), what is the measure of each angle?
6
24
50
64
Vertical angles are formed by two intersecting lines and are congruent to each other. Therefore, m<1 = m<3.
Setting the two measures equal and solving for x:
4x + 26 = 3x + 32
Subtracting 3x from both sides: x + 26 = 32
Subtracting 26 from both sides: x = 6
Now, substitute x = 6 back into either equation to find the measure of the angles:
m<1 = 4(6) + 26 = 24 + 26 = 50
m<3 = 3(6) + 32 = 18 + 32 = 50
Therefore, the measure of each angle is 50 degrees. Answer: \boxed{50}.