Question

For two vertical angles with measures

and ,
what is the measure of each angle? (1 point)
m∠2 = (5x + 23) ° m∠4 = (3x + 35) °
53°
29°
15.3°
6°

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measures of two vertical angles, we set the two angle expressions equal to each other and solve for x:

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 x = 6 into either of the angle expressions to find the measure of each angle. Let's substitute into m∠2:

m∠2 = 5(6) + 23
m∠2 = 30 + 23
m∠2 = 53°

Therefore, the measure of each angle is 53°.