Recall the Protractor Postulate which states that:
Consider the angle AOC, notice that the numbers matched with the rays of the angle OA and OC are 0 and 50 (note that you can either of the upper or lower numbers).
Hence, the measure of angle AOC is:
The measure of angle AOC is 50⁰.
Consider the angle FOE, notice that the numbers matched with the rays of the angle OF and OE are 140 and 120.
Hence, the measure of angle FOE is:
The measure of angle FOE is 20⁰.
Consider the angle COE, notice that the numbers matched with the rays of the angle OC and OE are 50 and 120.
Hence, the measure of angle COE is:
The measure of the angle COE is 70⁰.
Consider the angle EOB, notice that the numbers matched with the rays of the angle OE and OB are 50 and 120 and 30.
Hence, the measure of angle EOB is:
The measure of the angle EOB is 90⁰.
Finally, consider the angle EOD, notice that the numbers matched with the rays of the angle OE and OB are 120 and 90.
Hence, the measure of angle EOD is:
The measure of the angle EOD is 30⁰.
Answers:
The measure of angle AOC is 50⁰.
The measure of angle FOE is 20⁰.
The measure of the angle COE is 70⁰.
The measure of the angle EOB is 90⁰.
The measure of the angle EOD is 30⁰.