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?
The measure of angle x is 122.5 degrees. The measure of angle y is 575 degrees
The measure of angle x is 115 degrees. The measure of angle y is 65 degrees
The measure of angle x is 57.5 degrees. The measure of angle y is 122.5 degrees
The measure of angle x is 65 degrees. The measure of angle y is 115 degrees

The measure of angle x is 122.5 and angle y 57.5

Step-by-step explanation:

y= x-65

x-65+x=180

x^2-65=180

x^2=115

115/2=57.5

57.5+65=122.5

122.5+57.5=180

To double check:

X+Y=180

Y=X-65

he 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?

The measure of angle x is 122.5 degrees. The measure of angle y is 57.5 degrees.

The measure of angle x is 115 degrees. The measure of angle y is 65 degrees.

The measure of angle x is 57.5 degrees. The measure of angle y is 122.5 degrees.

The measure of angle x is 65 degrees. The measure of angle y is 115 degrees.

CORRECT ANSWER IS A

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!