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1. 75°. 5x° 3y°

1. 75°. 5x° 3y°

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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### Checkpoint: Solve for \( x \) and \( y \). #### Problem 1: Diagram Description: - A triangle with one angle labeled \( 75^\circ \). - Another angle labeled \( 5x^\circ \). - The remaining angle in the triangle is labeled \( 3y^\circ \). #### Problem 2: Diagram Description: - A quadrilateral with two triangles inside. - One angle of the quadrilateral is labeled \( 70^\circ \). - Adjacent to the \( 70^\circ \) angle, another angle is marked as \( x^\circ \). - The opposite angle, at the top left corner, is labeled \( y^\circ \). - Marks indicate that sides of the triangles might be equal (e.g., isosceles triangles). ### Instructions: Solve for the values of \( x \) and \( y \) using the properties of triangles and geometric relationships.
Transcribed Image Text:### Checkpoint: Solve for \( x \) and \( y \). #### Problem 1: Diagram Description: - A triangle with one angle labeled \( 75^\circ \). - Another angle labeled \( 5x^\circ \). - The remaining angle in the triangle is labeled \( 3y^\circ \). #### Problem 2: Diagram Description: - A quadrilateral with two triangles inside. - One angle of the quadrilateral is labeled \( 70^\circ \). - Adjacent to the \( 70^\circ \) angle, another angle is marked as \( x^\circ \). - The opposite angle, at the top left corner, is labeled \( y^\circ \). - Marks indicate that sides of the triangles might be equal (e.g., isosceles triangles). ### Instructions: Solve for the values of \( x \) and \( y \) using the properties of triangles and geometric relationships.
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