To solve for the angles ∠ABC and ∠DBC, we need more information about the type of triangle or the relationship between the angles. From what you've provided, we only know:

• ∠ABD = 79°.

However, without a diagram or more details (like whether these angles are part of a straight line, triangle, or some other figure), I can't determine the specific values of ∠ABC and ∠DBC.

Could you clarify or provide more details, such as:

• Is this part of a triangle, and if so, what type?
• Are the angles related in any specific way (e.g., complementary, supplementary)?
• Is there a straight line or other geometric constraint involved?

Once you share more information, I can proceed with a detailed solution!

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Would you like more clarification? Here are 5 related questions for deeper exploration:

1. Are ∠ABD and ∠ABC part of a triangle?
2. Is ∠ABC formed by the extension of angle ∠ABD?
3. Are the points A, B, C, and D part of a geometric shape like a quadrilateral?
4. Could ∠DBC be supplementary or complementary to ∠ABC?
5. Do you have any known sides or other angle measures?

Tip: In geometry, if two angles form a straight line, they are supplementary (their measures sum to 180°).