Angle x + 16 and Angle 4x - 5. They are vertical angles. Solve for x and the measure of the two angles.

Vertical angles are congruent and have equal measures. Therefore,

Simplify and solve for x:

x + 16 = 4x - 5.

16=3x-5

21=3x

x=7

Thus the angles measure is x+16 = 7+16 = 23 degrees, for both angles (for each of the two vertical angles).

Step-by-step explanation:

each angle measure is 23 degrees