Refer to the figure below, which of the given options is correct.
∠ABD is an acute angle.
An acute angle measures between 0∘ and 90∘, and an angle greater than 90∘ but less than 180∘ is called an obtuse angle. From the given figure we can see that ∠ABD is less than 90∘ and greater than 0∘, hence it is an acute angle. Similarly ∠CBA is angle greater than 90∘but less than 180∘ hence it is an obtuse angle.