Question

Answer the number 12 only. It said if not possible, write no valid conclusion

Answer 1

They are complemntary

Explanation:$\begin{gathered} Assuming\text{ }s\text{ um of two angles = 900 }\rightarrow\text{ p } \\ \text{Then they are complementary }\rightarrow\text{ q} \end{gathered}$$\begin{gathered} m\angle1\text{ = 580} \\ m\angle2=320\text{ } \\ s\text{ um of both angles = }m\angle1\text{ + }m\angle2 \\ s\text{ um of both angles = 580 + 320 = 900} \end{gathered}$

Using law of detachment:

$\begin{gathered} if\text{ hypothesis is true, conclusion is true} \\ \text{if p then q} \\ p\text{ is true} \\ \text{conclusion: }q\text{ is true} \\ \text{they are complementary} \end{gathered}$