Respuesta :

As given by the question

There are given that measure angle 1 is 160 degrees.

Now,

According to the properties, opposite angles are congruent.

Then,

We can say that the measure of angle 3 will also be 160 degrees.

And,

According to the properties:

The angles 2 and 3 will be equal to 180 degrees.

So,

[tex]\angle2+\angle3=180^{\circ}[/tex]

Then,

[tex]\begin{gathered} \angle2+\angle3=180^{\circ} \\ \angle2+160^{\circ}=180^{\circ} \\ \angle2=180^{\circ}-160^{\circ} \\ \angle2=20^{\circ} \end{gathered}[/tex]

Hence, the measure angles 2 and 3 are shown below:

[tex]\begin{gathered} m\angle2=20^{\circ} \\ m\angle3=160^{\circ} \end{gathered}[/tex]