Find the measures of the unknown angles in the triangle shown. Round it the nearest degree.

Answer:
x = 49°
y = 41°
Step-by-step explanation:
Recall: SOH CAH TOA
✔️To find x, the trig function we would apply is Cos, which is:
Cos θ = Adjacent/Hypotenuse (CAH)
θ = x
Adjacent = 13
Hypotenuse = 20
[tex] Cos(x) = \frac{13}{20} [/tex]
[tex] x = cos^{-1}(\frac{13}{20}) [/tex]
x = 49.4583981°
x = 49° (nearest degree)
✔️To find y, the trig function we would apply is Sin, which is:
Sin θ = Opposite/Hypotenuse (SOH)
θ = y
Opposite = 13
Hypotenuse = 20
[tex] Sin(y) = \frac{13}{20} [/tex]
[tex] y = Sin^{-1}(\frac{13}{20}) [/tex]
y = 40.5416019°
y = 41° (nearest degree)