https://file.aiquickdraw.com/mathbot/file/1727814624231entbgo2e.jpg

The image provided shows a geometric diagram involving a circle with inscribed and exterior angles. Here's a breakdown of the scenario:

- There is a circle, and a quadrilateral \(ABCD\) is inscribed inside the circle.
- Angles are marked at the vertices \(A\), \(B\), \(C\), and \(D\).
- There is an exterior angle of 70° shown at the intersection of two lines outside the circle.
- We can infer that this problem likely relates to angle properties of cyclic quadrilaterals and the exterior angle theorem.

### Important facts to consider:
1. **Cyclic Quadrilateral**: In any cyclic quadrilateral, opposite angles sum up to 180°. So, for the quadrilateral \(ABCD\):
   \[
   \angle A + \angle C = 180^\circ
   \]
   \[
   \angle B + \angle D = 180^\circ
   \]
2. **Exterior Angle Theorem**: The exterior angle of a triangle is equal to the sum of the two opposite interior angles. 

With this information, the goal may be to determine one of the missing angles, possibly \( \angle B \) or \( \angle A \), based on the given data.

Could you confirm if you want to solve for a specific angle, or should I provide a full solution based on this setup?

### 5 Follow-up Questions:
1. Would you like to solve for one of the angles, or do you want to verify a property of the cyclic quadrilateral?
2. Is angle \(A\) or \(B\) the unknown value you wish to calculate?
3. Should I calculate the exterior angle \(B\) using angle properties of triangles?
4. Are you interested in how the 70° exterior angle affects other angles in the diagram?
5. Would you like to explore more about inscribed angles and their properties?

### Tip:
Remember, in any cyclic quadrilateral, the sum of opposite angles always equals 180°. This fact can simplify many geometry problems!

Determine the missing angles in a cyclic quadrilateral inscribed in a circle, with an exterior angle of 70° provided.

Explore how to solve for missing angles in a cyclic quadrilateral inscribed in a circle. The problem involves understanding key geometric properties such as the sum of opposite angles in cyclic quadrilaterals and the exterior angle theorem, with a given exterior angle of 70°. Suitable for Grades 9-12.

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