For two vertical angles with measures m∠1 = (4x + 26)°and m∠3 = (3x + 32)°, what is the measure of each angle?(1 point)Responses6°6degree24°24degree50°50degree64°
To find the measure of each angle, we need to set the measures of the two vertical angles equal to each other.
Therefore, we have (4x + 26)° = (3x + 32)°.
Now we solve for x:
4x + 26 = 3x + 32
Subtracting 3x from both sides, we have:
x + 26 = 32
Subtracting 26 from both sides, we have:
x = 6
Now that we have found x, we can substitute it back into one of the angle measures to find the measure of each angle.
Using m∠1 = (4x + 26)°:
m∠1 = (4(6) + 26)°
m∠1 = (24 + 26)°
m∠1 = 50°
Therefore, the measure of each angle is 50°.