Question

QuestionFind an angle a that is coterminal with an angle measuring 770°, where 0°

Answer 1

`50`

Step-by-step 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:

`\begin{gathered} 770-360 \\ \Rightarrow410\degree \end{gathered}`

Since 410 is not less than 360, subtract 360 degrees again:

`\begin{gathered} 410-360 \\ \Rightarrow50\degree \end{gathered}`

That is the measure of the angle, a, that is coterminal with the given angle.