Respuesta :

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]