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
15.3°15.3 degrees
53°
To find the measure of each angle, we can set the two expressions for the angles equal to each other and solve for x.
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 the value of x back into the expressions for the angles to find their measures.
m∠2 = 5x+23 = 5(6)+23 = 53°
m∠4 = 3x+35 = 3(6)+35 = 53°
Therefore, the measure of each angle is 53°.