Question

I need help to find the indicated measure of each angle. I will send the photo.

Answer 1

`\emptyset=40.60\text{ \degree}`

Step-by-step explanation

Step 1

we have a rigth triangle, then

Let

`\begin{gathered} \text{angle}=\emptyset \\ \text{adjacent side=14} \\ \text{opposite side= 12} \end{gathered}`

hence, we need a function that relates, angle, adjacent side and opposite side

`\tan \emptyset=\frac{opposite\text{ side}}{\text{adjacent side}}`

now, replace.

`\begin{gathered} \tan \emptyset=\frac{opposite\text{ side}}{\text{adjacent side}} \\ \tan \emptyset=\frac{12}{\text{1}4} \\ \tan \emptyset=(6)/(7) \\ In\text{verse tan in both sides} \\ \tan ^(-1)(\tan \emptyset)=\tan ^(-1)((6)/(7)) \\ \emptyset=40.60\text{ \degree} \end{gathered}`

I hope this helps you