Answer:
The measure of angle 2 is 52°.
Step-by-step explanation:
Consider the below figure attached with this question.
It is given that
and x=6.
From the below figure it is clear that Lines 1,2 and 3 intersect each other at a point and form 6 angles.
It is clear that angle 2 and angle 5 are vertical opposite angles because these angles created by intersection of line 2 and line 3.
If two lines intersect each other then vertical opposite angles are congruent.
(vertical opposite angles)
Substitute x=6.
Therefore, the measure of angle 2 is 52°.
