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Sagot :
SOLUTION
Step 1 :
In this question, we were told that the measurement of the angle is
[tex]\frac{1}{5}[/tex]of its supplement.
Step 2 :
In equation form, we have that :
[tex]\begin{gathered} x\text{ = }\frac{1}{5}\text{ ( 180 - x )} \\ \end{gathered}[/tex]cross-multiply, we have that :
[tex]\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}[/tex]Step 3 :
The other supplementary angle =
[tex]\begin{gathered} 180\text{ - 30 } \\ =\text{ 150 degre}es \end{gathered}[/tex]CONCLUSION:
The measurement of the two supplementary angles are 30 degrees
and 150 degrees.
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