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

15.3°15.3 degrees

29°29 degrees

53°
53 degrees

6°
To find the measure of each angle, set the two measures equal to each other and solve for x:
(5x+23)° = (3x+35)°
Simplify the equation:
2x+23 = 35
Subtract 23 from both sides:
2x = 12
Divide both sides by 2:
x = 6
Substitute x=6 back into either equation to find the measure of each angle:
m∠2 = (5(6)+23)° = 53°
m∠4 = (3(6)+35)° = 53°
Therefore, each angle has a measure of 53 degrees. Answer: 53°.