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3 6 4 8 7 110° 5 30° 2 130°

3 6 4 8 7 110° 5 30° 2 130°

Elementary Geometry For College Students, 7e
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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Find angle 1
The image displays a triangle with angles and intersecting lines. Here is the explanation in an educational context: **Triangle Diagram Overview:** - The diagram features a triangle with three labeled interior angles and several numbered sections for identification purposes. - **Angles and Measurements:** - Angle labeled as 1 appears to be an interior angle of the triangle. - Angle labeled as 2 is marked as 30°, also an interior angle of the triangle. - Angle labeled as 3 is inside the triangle, forming part of the intersection with another line. - Angle labeled as 4 is next to angle 3. - Angle labeled as 5 is an external angle created by an extended side of the triangle. - Angle labeled as 6 is adjacent to angle 5, within the triangle. - Angle labeled as 7 is connected to the top vertex of the triangle. - Angle labeled as 8 is an external angle, marked as 110°, formed by an extension of a triangle side. - **External Angles:** - A diagonal line intersects the triangle, forming external angles measured at 110° and 130° respectively, indicating larger angular relationships caused by the extended lines. This configuration suggests a study of angle relationships, possibly focusing on concepts like alternate interior angles, exterior angle theorem, or linear pairs.
Transcribed Image Text:The image displays a triangle with angles and intersecting lines. Here is the explanation in an educational context: **Triangle Diagram Overview:** - The diagram features a triangle with three labeled interior angles and several numbered sections for identification purposes. - **Angles and Measurements:** - Angle labeled as 1 appears to be an interior angle of the triangle. - Angle labeled as 2 is marked as 30°, also an interior angle of the triangle. - Angle labeled as 3 is inside the triangle, forming part of the intersection with another line. - Angle labeled as 4 is next to angle 3. - Angle labeled as 5 is an external angle created by an extended side of the triangle. - Angle labeled as 6 is adjacent to angle 5, within the triangle. - Angle labeled as 7 is connected to the top vertex of the triangle. - Angle labeled as 8 is an external angle, marked as 110°, formed by an extension of a triangle side. - **External Angles:** - A diagonal line intersects the triangle, forming external angles measured at 110° and 130° respectively, indicating larger angular relationships caused by the extended lines. This configuration suggests a study of angle relationships, possibly focusing on concepts like alternate interior angles, exterior angle theorem, or linear pairs.
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