Answer:
Range : 0° < x < 17°
Step-by-step explanation:
In any triangle, the smallest angle is opposite to the smallest side.
So, In ΔABD , the side which faces ∠ABD is AD whose length is 22 units.....(1)
And, in ΔCBD, the side which faces ∠CBD is CD whose length is 30 units....(2)
Now, from equations (1) and (2) We get,
∠ABD < ∠CBD
So, ∠ABD lies between 0° to 34°
![\Rightarrow 0 < 2\cdot x](https://tex.z-dn.net/?f=%5CRightarrow%200%20%3C%202%5Ccdot%20x%3C34%5C%5C%5CRightarrow%200%3Cx%3C%5Cfrac%7B34%7D%7B2%7D%5C%5C%5CRightarrow0%3Cx%3C17)
∴ Range of x is 0° to 17°