Question

question 3 which angle is an acute angle? $\angle doe$ $\angle aod$ $\angle cod$ $\angle coe$

Explanation:

Step1: Recall the definition of an acute angle

An acute angle is an angle whose measure is between \(0^{\circ}\) and \(90^{\circ}\).

Step2: Analyze each option

• For \(\angle DOE\): \(\angle DOE = 90^{\circ}+ \text{some angle}\) (since \(OD\) is on the horizontal axis and \(OE\) is vertical downward, and there are other rays in between), so it is not acute.
• For \(\angle AOD\): \(\angle AOD\) is greater than \(90^{\circ}\) (as \(OA\) is in the second - quadrant - like position relative to \(OD\) which is on the positive \(x\) - axis).
• For \(\angle COD\): \(\angle COD\) has a measure between \(0^{\circ}\) and \(90^{\circ}\) (as \(OC\) is in the first - quadrant - like position relative to \(OD\) which is on the positive \(x\) - axis).
• For \(\angle COE\): \(\angle COE\) is greater than \(90^{\circ}\) (since \(OC\) is in the first - quadrant - like position and \(OE\) is vertical downward).

Answer:

\(\angle COD\)