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10. Find the measure of each missing angle. 59 5 #1 127 N 3 m21 = m<2 = m23= m24 = m25 =

10. Find the measure of each missing angle. 59 5 #1 127 N 3 m21 = m<2 = m23= m24 = m25 =

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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**Exercise 10: Find the Measure of Each Missing Angle** A diagram of a geometric figure is shown, including two connected triangles. Here are the specifics: - The larger triangle is annotated with the angle measures of 59° and 127°. - There is an internal line dividing the triangle, creating a smaller triangle within the larger one. - The vertices of the triangles are labeled with numbers 1, 2, 3, 4, and 5 corresponding to the angles. **Tasks: Determine the measures of the following angles.** - \( m\angle 1 = \) ______ - \( m\angle 2 = \) ______ - \( m\angle 3 = \) ______ - \( m\angle 4 = \) ______ - \( m\angle 5 = \) ______ **Instructions:** Use properties of triangles and adjacent angles to find the missing angle measures. Consider that the sum of angles in a triangle equals 180° and adjacent angles on a straight line sum to 180°. **Mathematics Corner:** Reviewing key concepts related to angles in triangles and the ability to deduce unknown angles using known measurements.
Transcribed Image Text:**Exercise 10: Find the Measure of Each Missing Angle** A diagram of a geometric figure is shown, including two connected triangles. Here are the specifics: - The larger triangle is annotated with the angle measures of 59° and 127°. - There is an internal line dividing the triangle, creating a smaller triangle within the larger one. - The vertices of the triangles are labeled with numbers 1, 2, 3, 4, and 5 corresponding to the angles. **Tasks: Determine the measures of the following angles.** - \( m\angle 1 = \) ______ - \( m\angle 2 = \) ______ - \( m\angle 3 = \) ______ - \( m\angle 4 = \) ______ - \( m\angle 5 = \) ______ **Instructions:** Use properties of triangles and adjacent angles to find the missing angle measures. Consider that the sum of angles in a triangle equals 180° and adjacent angles on a straight line sum to 180°. **Mathematics Corner:** Reviewing key concepts related to angles in triangles and the ability to deduce unknown angles using known measurements.
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