For two vertical angles with measures m2 =(x + 23) and m 4= (3x+ 35 ) what is the measure of each angle?

Answer 1

To find the measure of each angle, we first need to set up the equation for vertical angles:

m2 = m4

Therefore, we can set the measures of the two angles equal to each other:

(x + 23) = (3x + 35)

Now, we solve for x by simplifying the equation:

x + 23 = 3x + 35
23 = 2x + 35
-12 = 2x
x = -6

Now that we have found the value of x, we can plug it back into the expressions for each angle to find their measures:

m2 = x + 23 = -6 + 23 = 17
m4 = 3x + 35 = 3(-6) + 35 = -18 + 35 = 17

Therefore, the measure of angle 2 is 17 and the measure of angle 4 is 17.