![a)40\text{ \degree}](https://img.qammunity.org/2023/formulas/mathematics/college/2ifhv7ro5a4ozarn01ifn5yxadk8ba8fza.png)
Step-by-step explanation
hen a line instersects a pair of paralle lines diverse angles are created
If you copy A of the corresponding angles and you translate it along the transversal, it will coincide with the other corresponding angle (B)
so angles A and B are called
Corresponding angles, those angles are congruents
![m\measuredangle A=m\measuredangle B](https://img.qammunity.org/2023/formulas/mathematics/college/raqolx2iegzp850tf9h1v59sivhsjn17hk.png)
hence, if the lines in the problem are parellel, is must fit
![m\measuredangle1=40\text{ \degree}](https://img.qammunity.org/2023/formulas/mathematics/college/vkongqsk0nbonown08weno78eo7frixuxz.png)
therefore, the answer is
![a)40\text{ \degree}](https://img.qammunity.org/2023/formulas/mathematics/college/2ifhv7ro5a4ozarn01ifn5yxadk8ba8fza.png)
I hope this helps you