Respuesta :

We need to use law of sin

sin A/a = sin B/b

a is a side opposite to the angle A,

b is a side opposite to the angle B.


We can write

sin 75⁰/22 = sin x/12

sin x = (12*sin 75⁰)/22

x= sin⁻¹((12*sin 75⁰)/22≈ 31.8⁰

x ≈ 31.8⁰

I used the Law of Sines to find this. I set sin75/22 equal to sinx/12. I then multiplied both sides by 12 and got 12sin75/22 is equal to sinx. I then solved 12sin75/22 to get 0.56868 is equal to sinx. I then did sine inverse on both sides to get that the angle of x is about 31.79 degrees.

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