Question

show that Δ ABC is equilateral if <A=x+30° <B=3x-30° and <C=4x-60°​

Answer 1

Answer:

To show: △ABC is equilateral Property of equilateral triangle

∠A=∠B=∠C=60

Given : ∠A=x+30=60

x=30

​  

−−−−−(1)

∠B=3x−30=60

3x=90

x=30

​  

−−−−−−−(2)

∠C=x−60=60

4x=120

x=30−−−−−−−−−(3)

From eq (1), (2), (3) x=30

and ∠A=∠B=∠C=60

Hence , △ABC= equilateral

Step-by-step explanation:

Answer 2

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