for two vertical angles with mesures m<2=(5x+23) and m<4=(3x+35) what is the mesure of each angles
Vertical angles are congruent, meaning they have equal measures.
Therefore, we can set up an equation:
m<2 = m<4
(5x+23) = (3x+35)
5x+23 = 3x+35
2x = 12
x = 6
Now we substitute the value of x back into the equations to find the measures of each angle:
m<2 = (5x+23) = (5*6+23) = 30+23 = 53 degrees
m<4 = (3x+35) = (3*6+35) = 18+35 = 53 degrees
So, each angle measures 53 degrees.