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In any triangle ABC, m(B)=75 degree  and m(A)-m(C)=15 degree, find m(C) in degree...

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utkdmrz | Student, Grade 11 | eNoter

Posted April 27, 2012 at 3:21 PM via web

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In any triangle ABC, m(B)=75 degree  and m(A)-m(C)=15 degree, find m(C) in degree measurment.

 

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rcmath | High School Teacher | (Level 1) Associate Educator

Posted April 28, 2012 at 3:13 PM (Answer #1)

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For sake of abbreviation I will use A for measure of angle A, B for measure of angle B, etc.

Since A-C=15=>A=15+C

A+B+C=180=>
15+C+75+C=180=>
90+2C=180=>
2C=90=>
C=45 degre

Hence angle C measure 45 degree.

 

 

 

 

 

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chandramohan | High School Teacher | eNoter

Posted April 28, 2012 at 10:37 AM (Answer #2)

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angle A+B+C = 180

B = 75

A+C = 180-75 = 105

A-C = 15

Add above two

2A =120

A = 60

C = 45

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