# The degree measure of the AOB angle is equal to the 60 degree measure of the deck angle is 25%

**The degree measure of the AOB angle is equal to the 60 degree measure of the deck angle is 25% greater than the degree measure of the AOB angle, which is equal to the degree measure of the DEC angle.**

If the degree measure of the DEK angle is 25% greater than the AOB angle, then first we find how many degrees are contained in 1% of the AOB angle.

To do this, let’s make a proportion.

60 degrees – 100%.

x degrees – 1%.

According to the rules of proportion, we multiply the known numbers that are located on the diagonal, and divide by the remainder.

x = 60 * 1/100.

x = 0.6 degrees.

Now we find what is equal to 25% of the angle AOB.

0.6 * 25 = 15 degrees.

Now we will find the degree measure of the angle DЕК.

60 + 15 = 75 degrees.

Answer: The degree measure of the DEK angle is 75 degrees.