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°

Answer 1

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°.