For two vertical angles with measures m∠1 = (4x + 26)°
°
and m∠3 = (3x + 32)°
°
, what is the measure of each angle?(1 point)
Responses
6°
°
6degree
24°
°
24degree
50°
°
50degree
64°
°
64degree
To find the measure of each angle, you need to set the two expressions equal to each other:
4x + 26 = 3x + 32
Now, solve for x:
4x - 3x = 32 - 26
x = 6
Now substitute x = 6 back into the expressions to find the measure of each angle:
m∠1 = 4(6) + 26 = 24 + 26 = 50°
m∠3 = 3(6) + 32 = 18 + 32 = 50°
So the measure of each angle is 50°.