How many degrees does the AOB angle contain if its degree measure is 65% of the swept angle?

According to the condition of the task, the angle AOB is given.

It is known that the degree measure of a given angle is 65% of the degree measure of the unfolded angle.

You want to calculate how many degrees the given angle AOB contains.

As you know, the degree measure of the expanded angle is 180 °.

Find what equals 65% of 180.

To do this, you will need to calculate what is 1% of 180, and multiply the value of one percent by 65.

180/100 = 1.8 ° is 1% of the flattened angle.

1.8 * 65 = 117 ° degree measure of the desired angle AOB.