Answer:
25° and 97°
Step-by-step explanation:
Oblique triangle : any triangle that is not a right triangle
Use the sine rule to find one of the unknown interior angles:
[tex]\dfrac{sin(A)}{a}=\dfrac{sin(B)}{b}=\dfrac{sin(C)}{c}[/tex]
where A, B and C are the interior angles of a triangle, and a, b and c are the sides opposite to the interior angles.
[tex]\implies \dfrac{sin(58)}{12}=\dfrac{sin(B)}{6}[/tex]
[tex]\implies sin(B)=\dfrac{6sin(58)}{12}=0.4240240481...[/tex]
[tex]\implies sin(B)=25.08890446...=25 \textdegree \ \ \textsf{(nearest whole)}[/tex]
Sum of interior angles of a triangle = 180°
⇒ Missing angle = 180 - 58 - 25 = 97°
