Question

the difference between the measures of two supplementary angles is 42. find both angles. after you enter your answer press go. ° and °

Explanation:

Step1: Set up equations

Let the two supplementary angles be \(x\) and \(y\) (\(x>y\)).
Since they are supplementary, \(x + y=180\).
Also, given \(x - y = 42\).

Step2: Solve the system of equations

Add the two equations:
\((x + y)+(x - y)=180 + 42\)
\(2x=222\)
\(x = 111\)
Substitute \(x = 111\) into \(x + y=180\):
\(111+y=180\)
\(y=180 - 111=69\)

Answer:

\(111\) and \(69\)