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6. Find the measures of angles x, y, and z. 65 x 38

6. Find the measures of angles x, y, and z. 65 x 38

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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**Problem 6: Find the measures of angles \(x\), \(y\), and \(z\).** The diagram shows a triangle with a right angle marked as \(z^\circ\), and two other angles marked as \(65^\circ\) and \(38^\circ\). The angle opposite the right angle is marked as \(x^\circ\). Another angle in the triangle, which is separate from the right angle, is marked as \(y^\circ\). **Explanation of Diagram:** - The triangle contains a smaller right triangle within it. - The angle \(z\) is a right angle, \(90^\circ\). - \(65^\circ\) is adjacent to the right angle \(z\). - \(38^\circ\) is at the top of the smaller right triangle. - The larger triangle also includes angle \(y\), not directly part of the right triangle configuration. **Resources:** This question is taken from Pearson Geometry Lesson 3-5.
Transcribed Image Text:**Problem 6: Find the measures of angles \(x\), \(y\), and \(z\).** The diagram shows a triangle with a right angle marked as \(z^\circ\), and two other angles marked as \(65^\circ\) and \(38^\circ\). The angle opposite the right angle is marked as \(x^\circ\). Another angle in the triangle, which is separate from the right angle, is marked as \(y^\circ\). **Explanation of Diagram:** - The triangle contains a smaller right triangle within it. - The angle \(z\) is a right angle, \(90^\circ\). - \(65^\circ\) is adjacent to the right angle \(z\). - \(38^\circ\) is at the top of the smaller right triangle. - The larger triangle also includes angle \(y\), not directly part of the right triangle configuration. **Resources:** This question is taken from Pearson Geometry Lesson 3-5.
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