Answer: The measure of angle 6 is 120°.
Step-by-step explanation:
Since we have given that
60° and m∠6 are interior angles on the same side of the transversal.
As we know that if the two lines are parallel and there is a transvesal, then sum of interior angles on the same side is supplementary.
So, it becomes,
[tex]60^\circ+m\angle 6=180^\circ\\\\m\angle 6=180^\circ-60^\circ\\\\m\angle 6=120^\circ[/tex]
Hence, the measure of angle 6 is 120°.
The measure of angle 6 (∠6) is; 120°
From the diagram we can see that ∠7 is an alternate interior angle to 60° and as such we can say that;
∠7 = 60°
Now, we know that sum of angles on a straight line is 180°
Thus;
∠7 + ∠6 = 180
60 + ∠6 = 180
∠6 = 180 - 60
∠6 = 120°
Read more about angle theorems at; https://brainly.com/question/24839702
