Questions: Find the complement and the supplement of the given angle. It is possible for the supplement not to exist. If there is no complement or supplement, enter DNE 89° Complement: Supplement:

Solution Steps

To find the complement of an angle, subtract the angle from \(90^\circ\). To find the supplement, subtract the angle from \(180^\circ\). If the result is negative, the complement or supplement does not exist (DNE).

To find the complement of the angle \(89^\circ\), we use the formula: \[ \text{Complement} = 90^\circ - \text{angle} \] Substituting the given angle: \[ \text{Complement} = 90^\circ - 89^\circ = 1^\circ \]

To find the supplement of the angle \(89^\circ\), we use the formula: \[ \text{Supplement} = 180^\circ - \text{angle} \] Substituting the given angle: \[ \text{Supplement} = 180^\circ - 89^\circ = 91^\circ \]

Final Answer