Question

10. What kind of triangle is ABC in the adjoining figure? ​

Answer 1

Answer:

Equilateral triangle

Step-by-step explanation:

a + b = 120(by exterior angle property)

b + c = 120(by exterior angle property)

Comparing, a =c

Therefore, by exterior angle property,

a + c =120

Therefore,

b = 180 - 120(Sum of all the angles of a triangle is 180)

b = 60

a + b +c = 180(Sum of all the angles of a triangle is 180)

2a + 60 = 120

a = 60

c=a

c= 60

Therefore, a = b =c

Therefore it is an equilateral triangle

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