Find the measures of two supplementary angles if the difference of their measures is 56 degrees

I know supplementary angles are the sum of the measure if two angles is 180 degrees but then what is the question asking?

it's asking what the measure of each angle is. subtract 56 from 180, divide by 2, add 56 to one of them, and that's your answer

The question is asking you to find the measures of two angles that are supplementary, meaning their sum is 180 degrees, given that their difference is 56 degrees. Let's denote the measures of the two angles as x and y.

To solve this problem, you can set up a system of equations using the given information. Since the angles are supplementary, their sum is equal to 180 degrees:

x + y = 180

Additionally, you are told that the difference between the angles is 56 degrees:

x - y = 56

Now, you can solve this system of equations to find the values of x and y.

You can do this by using the method of substitution or elimination. Let's use the method of elimination:

Add the two equations together:

(x + y) + (x - y) = 180 + 56

Simplify:

2x = 236

Divide both sides by 2:

x = 118

Now, substitute this value back into either equation to solve for y. Let's use the first equation:

118 + y = 180

Subtract 118 from both sides:

y = 62

So, the measures of the two supplementary angles are 118 degrees and 62 degrees.

Two complementary angles are such that one is seventeen times larger than the other. Find the two angles.

17x+x=90

18x=90
x=90/18=5
then 1st angle=5 then 2nd angle=85

Rose's English sentence translated into "math" ...

x -(180-x) = 56

x - 180 + x = 56
2x = 236
x = 118