ANSWER
[tex]50[/tex]EXPLANATION
A coterminal angle to an angle is one that terminates in the same position or on the same side as the angle considered.
Since we are looking for a coterminal angle between 0 and 360, we have to keep subtracting a full revolution (360 degrees) from the given angle until we get an angle that satisfies the condition.
Therefore, we have:
[tex]\begin{gathered} 770-360 \\ \Rightarrow410\degree \end{gathered}[/tex]Since 410 is not less than 360, subtract 360 degrees again:
[tex]\begin{gathered} 410-360 \\ \Rightarrow50\degree \end{gathered}[/tex]That is the measure of the angle, a, that is coterminal with the given angle.
