Answer:
The measure of angle 1 is;
![\measuredangle1=119^0](https://img.qammunity.org/2023/formulas/mathematics/college/5w57lrw5qwnvzhtg5jqhdqzao75jk76a5r.png)
Step-by-step explanation:
Given the figure in the attached image.
Angle 1 is an exterior angle.
Recal that;
The value of an exterior angle of a triangle is equal to the sum of the opposite non-adjacent interior angles of the triangle;
So, we can get the angle 1 using the above rule;
![\begin{gathered} \measuredangle1=58^0+61^0 \\ \measuredangle1=119^0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ip5hwp7nhffgo9fcugrb2j4rvvc04m1trb.png)
Therefore, the measure of angle 1 is;
![\measuredangle1=119^0](https://img.qammunity.org/2023/formulas/mathematics/college/5w57lrw5qwnvzhtg5jqhdqzao75jk76a5r.png)