Answer:
we conclude that the measure of ∠2 is: 106°
i.e. m∠2 = ∠106°
Explanation:
We know that when two lines cross, the angles will be opposite to each other.
The opposite angles are also termes as 'vertical angles'.
In our case,
∠106° and ∠2 are opposite. Hence, ∠106° and ∠2 are vertical.
∠1 and ∠3 are opposite. Hence, ∠1 and ∠3 are also vertical.
Please note that vertical angles are equal.
Given
As ∠2 is the vertical angle ∠106°. So, it must be equal to 106°.
Hence,
m∠2 = ∠106°
Therefore, we conclude that the measure of ∠2 is: 106°
i.e. m∠2 = ∠106°