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Level L > K.9 Congruency in isosceles and equilateral triangles HPR What are the values of b and c? H b= 61⁰ Tuesday Tu, Wed, Fr Mon Wed Th

Level L > K.9 Congruency in isosceles and equilateral triangles HPR What are the values of b and c? H b= 61⁰ Tuesday Tu, Wed, Fr Mon Wed Th

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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**Educational Website Transcription** **Section: Congruency in Triangles** ### Lesson: K.9 Congruency in Isosceles and Equilateral Triangles **Question:** What are the values of \( b \) and \( c \)? **Diagram Explanation:** The image features a triangle labeled \( \triangle HIG \), with an angle at vertex \( H \) measuring \( 61^\circ \). The triangle shows sides \( HI \) and \( HG \) marked with a line segment, indicating that these two sides are congruent, suggesting it is an isosceles triangle. ### Problem Your task is to find the values of \( b \) and \( c \): - \( b = \_\_^\circ \) - \( c = \_\_^\circ \) **Instructions** To solve this problem, consider the properties of isosceles triangles where two sides have equal lengths, and the angles opposite these sides are equal. Use the known angle at \( H \) and the fact that the sum of angles in a triangle is \( 180^\circ \). **Controls:** - **Submit Button:** Use this to submit your answers for \( b \) and \( c \). **Progress Tracker:** - **Questions answered:** 18 - **Time elapsed:** 00 hours, 50 minutes, 35 seconds - **SmartScore:** 73 out of 100 Note: This exercise helps reinforce the understanding of triangle congruency and angle calculations.
Transcribed Image Text:**Educational Website Transcription** **Section: Congruency in Triangles** ### Lesson: K.9 Congruency in Isosceles and Equilateral Triangles **Question:** What are the values of \( b \) and \( c \)? **Diagram Explanation:** The image features a triangle labeled \( \triangle HIG \), with an angle at vertex \( H \) measuring \( 61^\circ \). The triangle shows sides \( HI \) and \( HG \) marked with a line segment, indicating that these two sides are congruent, suggesting it is an isosceles triangle. ### Problem Your task is to find the values of \( b \) and \( c \): - \( b = \_\_^\circ \) - \( c = \_\_^\circ \) **Instructions** To solve this problem, consider the properties of isosceles triangles where two sides have equal lengths, and the angles opposite these sides are equal. Use the known angle at \( H \) and the fact that the sum of angles in a triangle is \( 180^\circ \). **Controls:** - **Submit Button:** Use this to submit your answers for \( b \) and \( c \). **Progress Tracker:** - **Questions answered:** 18 - **Time elapsed:** 00 hours, 50 minutes, 35 seconds - **SmartScore:** 73 out of 100 Note: This exercise helps reinforce the understanding of triangle congruency and angle calculations.
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