The image contains a geometric problem involving a quadrilateral and a section about polygons. Here is the transcribed content suitable for an educational website: --- **Geometry Concepts** **Measure of Interior Angles in Regular Polygons** 1. Find the measure of each interior angle of the indicated regular polygon. - **Example**: Nonagon **Quadrilateral Measurements** 2. Find the indicated measure in quadrilateral ABCD. The diagram depicts a quadrilateral with diagonal AC drawn, creating triangles ABC and ACD. - **Known Measurements**: - Angle EAB = 30° - Angle EDB = 37° - Angle DCB = 65° - Side AB = 9.5 units - Side CD = 7.2 units - Side BC = 11.7 units - Side DE = 8.5 units **Tasks** 3. Determine the following: - **Length of AD (8)** - **Length of BA (9)** - **Measure of angle ABC (11)** - **Measure of angle ACD (12)** Additionally, students should: - **State which theorem can be used to show that the figure is a parallelogram and explain their reasoning**. --- Note: The diagram provides visual aids to assist with solving the geometric problems.

The image contains a geometric problem involving a quadrilateral and a section about polygons. Here is the transcribed content suitable for an educational website: --- Geometry Concepts Measure of Interior Angles in Regular Polygons 1. Find the measure of each interior angle of the indicated regular polygon. - Example: Nonagon Quadrilateral Measurements 2. Find the indicated measure in quadrilateral ABCD. The diagram depicts a quadrilateral with diagonal AC drawn, creating triangles ABC and ACD. - Known Measurements: - Angle EAB = 30° - Angle EDB = 37° - Angle DCB = 65° - Side AB = 9.5 units - Side CD = 7.2 units - Side BC = 11.7 units - Side DE = 8.5 units Tasks 3. Determine the following: - Length of AD (8) - Length of BA (9) - Measure of angle ABC (11) - Measure of angle ACD (12) Additionally, students should: - State which theorem can be used to show that the figure is a parallelogram and explain their reasoning. --- Note: The diagram provides visual aids to assist with solving the geometric problems.

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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