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In a δAbc, If ∠A = 55°, ∠B = 40°, Find ∠C. - Mathematics

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Question

In a ΔABC, if ∠A = 55°, ∠B = 40°, find ∠C. 

Solution

Given `∠ A=55^@,∠ B=40^@` then ∠ C=? 
We know that
In a ABC  sum of all angles of triangle is 180° 
i.e, ∠ A+∠ B +∠ C =`180^@` 

⇒`55^@+40^@` ∠ C `=180^@`  

⇒`95^@+∠ C=180^@` 

⇒`∠ C=180^@-95^@` 

⇒`∠C=85^@` 

 

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Chapter 11: Triangle and its Angles - Exercise 11.1 [Page 10]

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RD Sharma Mathematics [English] Class 9
Chapter 11 Triangle and its Angles
Exercise 11.1 | Q 1 | Page 10
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