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.
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