two angles are supplementary and they differ by42 degrees.find the two angles?

Answer 1

A + B = 180
A - B = 42 solve these to equations
we get A= 111 and B = 69

Answer 2

supplementary angles add up to 180
let say we have angle x and angle y so..
x + y =180 but x - y =42
add the two equations to get
2x=222 hence x = 111
y = 180-111 = 69
the angles are 111 and 69

Answer 3

"A pair of angles are supplementary if their respective measures sum to 180 degrees."

This answer works-
angle 1 = 111 degrees
angle 2 = 69 degrees
difference = 42 degrees

Answer 4

let the 2 angles be x and x-42

therefore,
x + (x-42) = 180 ....since they are supplementary
2x - 42 = 180
2x = 138
x = 69
therefore the 2 angles are 111 and 69

Answer 5

Let the first angle be x.

Let the second angle be x+42

Their sum is 180.

x + x + 42 = 180
2x + 42 = 180
2x = 138
x = 69
x + 42 = 111

Answer 6

say smaller angle is x

x + (x+42) = 180
2x = 138

x = 69

hence angles are 69 and 69+42 = 111

Answer 7

Here is the answer:
The sum of supplementary angles=180 degrees
a= first angle
b= second angle

a+b=180
a-b=42

Let's add these two equations:
2a=222
a=111
we know that a+b=180
b=180-a=180-111=69
so,
a=111 and b=69