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

Question

Responses

29°29 degrees

15.3°15.3 degrees

53°
53 degrees

6

Answer 1

To find the measure of each angle, set the measure of angle 2 equal to the measure of angle 4:

(5x+23)° = (3x+35)°

Now solve for x:

5x+23 = 3x+35

2x = 12

x = 6

Now substitute x=6 back into either of the original equations to find the measure of the angles:

m∠2 = (5(6)+23)° = 53°

m∠4 = (3(6)+35)° = 53°

Therefore, the measure of each angle is 53 degrees.