The measures of two supplementary angles total 180 degrees. the measure of angle y is 65 degrees less than the measure of angle x. what are the measures of the angles?
a)the measure of angle x is 122.5 degrees. the measure of angle y is 57.5 degrees.
b)the measure of angle x is 115 degrees. the measure of angle y is 65 degrees.
c)the measure of angle x is 57.5 degrees. the measure of angle y is 122.5 degrees.
d)the measure of angle x is 65 degrees. the measure of angle y is 115 degrees.

The right answer is A. The measure of angle x is 122.5 degrees. The measure of angle y is 57.5 degrees.

Step-by-step explanation:

We've been told that the addition of both angles is equal to 180 degrees (because they're supplementary angles). We may write this information in the form of an equation like this:

(equation 1)

Additionally, we've been told that the measure of angle y is 65 degrees less than the measure of angle x. So this can be written like this:

(equation 2)

So, we can use equations 1 & 2 to find the values of x and y.

From eq. 2 we have that:

(equation 3)

Now, let's replace this in equation 1

Finally, we may replace the found value of y in the equation 3 to find the value of x.

The right answer is A. The measure of angle x is 122.5 degrees and the measure of angle y is 57.5 degrees.

11 feet 6 inches and 8 feet 6 inches