For two vertical angles with measures m∠2=(5x+23)° and m∠4=(3x+35)°, what is the measure of each angle?(1 point)
Responses
29°29 degrees
15.3°15.3 degrees
53°
53 degrees
6
To find the measure of each angle, set the measure of angle 2 equal to the measure of angle 4:
(5x+23)° = (3x+35)°
Now solve for x:
5x+23 = 3x+35
2x = 12
x = 6
Now substitute x=6 back into either of the original equations to find the measure of the angles:
m∠2 = (5(6)+23)° = 53°
m∠4 = (3(6)+35)° = 53°
Therefore, the measure of each angle is 53 degrees.