To find the measure of each angle, we need to set the measures of the two vertical angles equal to each other and solve for x.
m∠2 = m∠4
(5x + 23)° = (3x + 35)°
Now, let's solve for x:
5x + 23 = 3x + 35
2x = 12
x = 6
Now we can substitute this 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°
Therefore, the measure of each angle is 53 degrees.
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
6°6 degrees
29°29 degrees
15.3°
1 answer