Question

PLS HELP ME WITH THIS PROBLEM I DONT GET IT TY WHO EVER HELPS ME

Answer 1

Step 1 :

In this question, we were told that the measurement of the angle is

`(1)/(5)`

of its supplement.

Step 2 :

In equation form, we have that :

`\begin{gathered} x\text{ = }(1)/(5)\text{ ( 180 - x )} \\ \end{gathered}`

cross-multiply, we have that :

`\begin{gathered} 5\text{ x = 180 -x } \\ \text{collecting like terms, we have that:} \\ 5\text{ x + x = 180} \\ 6\text{ x = 180} \\ \text{Divide both sides by 6, we have that :} \\ \text{x =}\frac{\text{ 180}}{6} \\ x\text{ = 30 degr}ees \end{gathered}`

Step 3 :

The other supplementary angle =

`\begin{gathered} 180\text{ - 30 } \\ =\text{ 150 degre}es \end{gathered}`

CONCLUSION:

The measurement of the two supplementary angles are 30 degrees

and 150 degrees.