Question

show that ∆ABC is equilateral if.∆= x+42°,∆B 4 x-12° and ∆ C = 3x+6°​

Answer 1

Answer:

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To show: △ABC is equilateral property of equilateral triangle is

∠A=∠B=∠C=60

Given : ∠A=x+42=60

x=18

o

−−−−−−−−(1)

∠B=4x−12=60

4x=72

x=18

o

−−−−−−−−−(2)

∠C=3x−6=60

3x=66

x=22−−−−−−−−−(3)

From eq (1), (2), (3)x



=18

Therefore △ABC is not equilateral.