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 53° 53 degrees 29°29 degrees 6°6 degrees 15.3°
To find the measure of each angle, we can set the two angle measures equal to each other since they are vertical angles.
m∠2 = m∠4
(5x+23)° = (3x+35)°
Now, we can solve for x:
5x + 23 = 3x + 35
2x = 12
x = 6
Now we can substitute x back into one of the angle measures to find the measure of each angle:
m∠2 = (5x+23)°
m∠2 = (5*6+23)°
m∠2 = (30+23)°
m∠2 = 53°
Therefore, the measure of each angle is 53°.