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 15.3°15.3 degrees 29°29 degrees 53°

Answer 1

To find the measure of each angle, we need to set up an equation.

Since vertical angles are congruent, we can set the measures of angle 2 and angle 4 equal to each other:

(5x + 23)° = (3x + 35)°

Now, solve for x:

5x + 23 = 3x + 35
2x = 12
x = 6

Now that we have found that x = 6, we can substitute it back into the expressions for angle 2 and angle 4 to find their measures:

m∠2 = (5 * 6 + 23)° = 53°
m∠4 = (3 * 6 + 35)° = 53°

Therefore, the measure of each angle is 53°.