Angles m∠1 and m∠3 are vertical angles. If m∠1=(2x+26)° and m∠3=14° , what is the value of x ?(1 point)
To find the value of x, we can use the fact that vertical angles are congruent (equal in measure).
Since m∠1 and m∠3 are vertical angles, we have:
m∠1 = m∠3
(2x + 26)° = 14°
Now we can solve for x:
2x + 26 = 14
2x = 14 - 26
2x = -12
x = -6
Therefore, the value of x is -6.