For two vertical angles with measures m 2=(5x+23) degree and m 4=(3x+35) degree what is the measure of each angle
Vertical angles are congruent, which means they have equal measures. Therefore, we can set m2 and m4 equal to each other and solve for x:
5x + 23 = 3x + 35
Subtracting 3x from both sides:
2x + 23 = 35
Subtracting 23 from both sides:
2x = 12
Dividing by 2:
x = 6
Now, we can substitute x back into either m2 or m4 to find the measure of each angle.
Let's use m2:
m2 = 5x + 23
m2 = 5(6) + 23
m2 = 30 + 23
m2 = 53 degrees
Therefore, the measure of each angle is 53 degrees.