Question

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

53°
53 degrees

15.3°15.3 degrees

29°29 degrees

6°6 degrees

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measures of the angles, set the measures equal to each other and solve for x:

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 we can substitute the value of x back into either equation to find the measure of the angles. Let's use m∠2:
m∠2 = 5x + 23
m∠2 = 5(6) + 23
m∠2 = 30 + 23
m∠2 = 53

So, the measure of each angle is 53 degrees. The correct answer is 53°.