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 6°6 degrees 29°29 degrees 53° 53 degrees 15.3°

Answer 1

To find the measure of each angle, we need to set the measures of both angles equal to each other:

m∠2 = m∠4

5x + 23 = 3x + 35

Subtract 3x from both sides:

2x + 23 = 35

Subtract 23 from both sides:

2x = 12

Divide both sides by 2:

x = 6

Now, substitute the value of x back into either angle to find its measure:

m∠2 = 5(6) + 23 = 53°

Therefore, the measure of each angle is 53 degrees.