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Name the exterior angles shown in Fig. 13.23 and find the size of each DCP - 163°. exterior angle. 45 B 60 163 Fig. 13.23 D. 3. Find the size of each of the lettered angles in Fig. 13.24. a) 35 right line) 100° y° 18 b) of a A) 70 A 30° c) 4704 115 31 85 d) 38 150 FREE Name AtAl

Name the exterior angles shown in Fig. 13.23 and find the size of each DCP - 163°. exterior angle. 45 B 60 163 Fig. 13.23 D. 3. Find the size of each of the lettered angles in Fig. 13.24. a) 35 right line) 100° y° 18 b) of a A) 70 A 30° c) 4704 115 31 85 d) 38 150 FREE Name AtAl

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
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### Exercise: Exterior and Interior Angles of Triangles --- #### Problem 2: **Task**: Name the exterior angles shown in Fig. 13.23 and find the size of each exterior angle. **Diagram Explanation**: - **Figure 13.23**: The diagram is a triangle QAR with: - \(\angle ABQ = 45^\circ\) - \(\angle BCR = 60^\circ\) --- #### Problem 3: **Task**: Find the size of each of the lettered angles in Fig. 13.24. **Figure 13.24**: The diagram contains four different triangles, each with angles marked, some of which have letters representing unknown angles. - **Part a**: - \( \angle A = 35^\circ \) - \( \angle B = 100^\circ \) - \( \angle C = 18^\circ \) - Unknown angles: \( \angle x^\circ \) and \( \angle y^\circ \) - **Part b**: - \( \angle A = 70^\circ \) - \( \angle B = 30^\circ \) - Unknown angles: \( \angle a^\circ \), \( \angle b^\circ \), and \( \angle c^\circ \) - **Part c**: - \( \angle A = 115^\circ \) - \( \angle B = 31^\circ \) - Unknown angles: \( \angle h^\circ \) and \( \angle k^\circ \) - **Part d**: - \( \angle A = 38^\circ \) - \( \angle B = 85^\circ \) - \( \angle C = 150^\circ \) - Unknown angles: \( \angle g^\circ \) and \( \angle l^\circ \) --- **Instructions**: 1. **Identify the exterior angles**: Use the known interior angles to calculate the corresponding exterior angles. Remember that an exterior angle of a triangle equals the sum of the two non-adjacent interior angles. 2. **Calculate each unknown angle**: Apply the angle sum property of triangles, which states that the sum of the interior angles of a triangle is \(180^\circ\). **Note**: Carefully follow each step and ensure calculations are accurate for precise
Transcribed Image Text:### Exercise: Exterior and Interior Angles of Triangles --- #### Problem 2: **Task**: Name the exterior angles shown in Fig. 13.23 and find the size of each exterior angle. **Diagram Explanation**: - **Figure 13.23**: The diagram is a triangle QAR with: - \(\angle ABQ = 45^\circ\) - \(\angle BCR = 60^\circ\) --- #### Problem 3: **Task**: Find the size of each of the lettered angles in Fig. 13.24. **Figure 13.24**: The diagram contains four different triangles, each with angles marked, some of which have letters representing unknown angles. - **Part a**: - \( \angle A = 35^\circ \) - \( \angle B = 100^\circ \) - \( \angle C = 18^\circ \) - Unknown angles: \( \angle x^\circ \) and \( \angle y^\circ \) - **Part b**: - \( \angle A = 70^\circ \) - \( \angle B = 30^\circ \) - Unknown angles: \( \angle a^\circ \), \( \angle b^\circ \), and \( \angle c^\circ \) - **Part c**: - \( \angle A = 115^\circ \) - \( \angle B = 31^\circ \) - Unknown angles: \( \angle h^\circ \) and \( \angle k^\circ \) - **Part d**: - \( \angle A = 38^\circ \) - \( \angle B = 85^\circ \) - \( \angle C = 150^\circ \) - Unknown angles: \( \angle g^\circ \) and \( \angle l^\circ \) --- **Instructions**: 1. **Identify the exterior angles**: Use the known interior angles to calculate the corresponding exterior angles. Remember that an exterior angle of a triangle equals the sum of the two non-adjacent interior angles. 2. **Calculate each unknown angle**: Apply the angle sum property of triangles, which states that the sum of the interior angles of a triangle is \(180^\circ\). **Note**: Carefully follow each step and ensure calculations are accurate for precise
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