find the measure of angle 6

Answer:
∠6 = 78°.
Step-by-step explanation:
∠3 = 78°
∠2 and ∠3 are vertical angles, => ∠2 = ∠3 = 78°.
∠2 and ∠6 are corresponding angles, => ∠6 = 78°.
Answer:
[tex]\displaystyle 78° = m\angle{6}[/tex]
Explanation:
As you can see, angles [tex]\displaystyle 6\:and\:3[/tex]are alternate interiour angles, and accourding to the Alternate Interiour Angles Theorem, these angles are considered congruent, therefore seventy-eight degrees is also the measure of the sixth angle.
I am joyous to assist you at any time.