The ABC angle is 30 degrees, find the vertical angle with the ABC angle.

The vertical angles are equal. Accordingly, the angle vertical with ABC is 30∘. For clarification, let’s draw a vertical corner and call it ∠DBE. By definition of vertical angles, the angles ∠CBD and ∠ABE are unfolded, i.e. 180∘. Then, the angle ∠ABD will be equal to 180∘ – 30∘ = 150∘. Knowing the angle ∠ABD, we can find the vertical angle ∠DBE, ∠DBE = 180∘ – 150∘ = 30∘.



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