Question

An exterior angle of a triangle measures 110° and one  of   its interior opposite angle  is  70° Find  the  other interior opposite angle. 


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Answer 1

Answer:

Let the given interior opposite angles be (2x)  

o

 and (3x)  

o

 

We know that an exterior angle of a triangle is equal to the sum of its interior opposite angles.

∴ 2x+3x=110  

o

 

5x=110

x=110/5=22

∴ ∠A=2x=2=2×22=44  

o

 

∠B=3x=3×22=66  

o

 

But ∠A+∠B+∠C=180  

o

 

44  

o

+66  

o

+∠C=180  

o

 

110+∠C=180  

o

 

∠C=180−110

∠C=70  

o

 

∠A=44  

o

, ∠B=66  

o

, ∠C=70  

o

Step-by-step explanation:

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Answer 2

Answer:

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