Question

28. If each of the two each angles of a triangle is four times the third angle. Find the angle 95
of the triangle​

Answer 1

Step-by-step explanation:Let triangle ABC be the isosceles triangle, such that ∠B=∠C=x and AB=AC

Now,

∠B=∠C=4∠A    ......(1)

∠A+∠B+∠C=180  

o

 

⇒∠A+4∠A+4∠A=180  

o

 

⇒9∠A=180  

o

 

⇒∠A=  

9

180  

o

 

​  

 

⇒∠A=20  

o

 

∴∠B=∠C=4×20  

o

=80  

o

 

Therefore,20  

o

,80  

o

 and 80  

o

 are the angles of the triangle.

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