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 53° 53 degrees 15.3°15.3 degrees 6°
The measure of vertical angles are equal, so we can set their measures equal to each other and solve for x:
5x + 23 = 3x + 35
2x = 12
x = 6
Substitute x = 6 back into either angle measure 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. Answer: 53°