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This image appears to be a geometry problem involving tangents to a circle and angle measurements. The goal is to deduce the measure of each listed angle based on the given relationships.

From the provided information:
- EF is tangent to circle O at point B.
- KE is tangent at H.
- JF is tangent at G.
- \( \angle \overline{AB} = \frac{1}{3} \angle \overline{AD} \) and \( \angle \overline{BC} = \frac{1}{2} \angle \overline{DC} \).

To solve this, we would need to analyze the geometric relationships, apply properties of tangents, and use the given angle relationships to determine the values for each of the listed angles. The figure likely shows multiple lines, tangents, and angles related to the circle, and we will apply geometric theorems and principles like the tangent-secant angle theorem, angle sum properties, and so on.

Would you like me to solve for specific angles from the diagram or help explain how to approach the entire problem step-by-step?

EF is tangent to circle O at B; KE is tangent at H, and JF is tangent at G. Deduce the measure of each angle listed below, using the given relationships: m∠AB = m∠AD/3, m∠BC = m∠DC/2.

This geometry problem involves tangents to a circle and angle relationships. It covers key concepts like the tangent-secant angle theorem and angle sum properties. Suitable for high school students studying advanced geometry.

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