Respuesta :

Answer:

9. 36.87°, 53.13°, 90°

10. 22.62°, 67.38°, 90°

Step-by-step explanation:

9. From the diagram given with the question.

[tex]\tan KLJ =\frac{4y}{3y} =\frac{4}{3}[/tex]

∠ KLJ = [tex]\tan^{-1} (\frac{4}{3} )= 53.13[/tex] Degree.

Similarly, [tex]\tan KJL =\frac{3y}{4y} =\frac{3}{4}[/tex]  

∠ KJL = [tex]\tan^{-1} (\frac{3}{4} )= 36.87[/tex] Degree.

Therefore, the angles of the Δ KJL will be 36.87°, 53.13°, and 90°. (Answer)

10. From the diagram given with the question.

Similarly,  [tex]\tan SQR =\frac{5}{12}[/tex]

∠ SQR = [tex]\tan^{-1} (\frac{5}{12} )= 22.62[/tex] Degree.

Similarly, [tex]\tan QSR =\frac{12}{5}[/tex]

∠ QSR = [tex]\tan^{-1} (\frac{12}{5} )= 67.38[/tex] Degree.

Therefore, the angles of the Δ SRQ will be 22.62°, 67.38°, and 90°. (Answer)