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
29°29 degrees
15.3°15.3 degrees
6°
First, we know that vertical angles are congruent, so we can set the two angle expressions equal to each other and solve for x:
5x + 23 = 3x + 35
2x = 12
x = 6
Now that we have the value of x, we can substitute it back into either angle expression to find the measure of each angle. Let's use angle 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°.