For two vertical angles with measures m∠2=(5x+23)° and m∠4=(3x+35)° , what is the measure of each angle?(1 point)



29°

15.3°

53°

1 answer

To find the measure of each angle, we can set the two vertical angles equal to each other:

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 one of the angle measures to find its value. Let's use m∠2:

m∠2 = (5x + 23)°

m∠2 = (5*6 + 23)°

m∠2 = (30 + 23)°

m∠2 = 53°

Therefore, the measure of each angle is 53°. Answer: 53°.