for the figure shown below find the measure of angle 1 measure of angle one=

Answer:
The measure of angle 1 is;
[tex]\measuredangle1=119^0[/tex]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;
[tex]\begin{gathered} \measuredangle1=58^0+61^0 \\ \measuredangle1=119^0 \end{gathered}[/tex]Therefore, the measure of angle 1 is;
[tex]\measuredangle1=119^0[/tex]