B D 3. If AD = 125° and BC = 173°, find ZBEC. %3D %3D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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#3 please
**Title: Circle Geometry Problems**

**Diagram Description:**
This section features a circle with various points labeled A, B, C, D, and E. Points lie on the circumference and inside the circle, forming angles and line segments that are used in the problems.

**Problems 3-6:**

3. If \( \overarc{AD} = 125^\circ \) and \( \overarc{BC} = 173^\circ \), find \( \angle BEC \).

4. If \( \angle AEB = 35^\circ \) and \( \overarc{AB} = 24^\circ \), find \( \overarc{CD} \).

5. If \( \angle CAD = 30^\circ \) and \( \angle BDA = 40^\circ \), find \( \angle CED \).

6. If \( \angle CED = 41^\circ \) and \( \angle DAC = 25^\circ \), find \( \overarc{AB} \).

**Further Problems 7-10:**

These problems reference another circle diagram involving points A, B, C, D, F, and G. These problems involve different sections and angles within this new circle configuration.

These exercises help in understanding properties of circles, angles subtended by arcs, and the relationships between inscribed angles and arcs.
Transcribed Image Text:**Title: Circle Geometry Problems** **Diagram Description:** This section features a circle with various points labeled A, B, C, D, and E. Points lie on the circumference and inside the circle, forming angles and line segments that are used in the problems. **Problems 3-6:** 3. If \( \overarc{AD} = 125^\circ \) and \( \overarc{BC} = 173^\circ \), find \( \angle BEC \). 4. If \( \angle AEB = 35^\circ \) and \( \overarc{AB} = 24^\circ \), find \( \overarc{CD} \). 5. If \( \angle CAD = 30^\circ \) and \( \angle BDA = 40^\circ \), find \( \angle CED \). 6. If \( \angle CED = 41^\circ \) and \( \angle DAC = 25^\circ \), find \( \overarc{AB} \). **Further Problems 7-10:** These problems reference another circle diagram involving points A, B, C, D, F, and G. These problems involve different sections and angles within this new circle configuration. These exercises help in understanding properties of circles, angles subtended by arcs, and the relationships between inscribed angles and arcs.
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