Question

show that triangle ABC is equilateral ifangle A is equal to X + 30 degree angle b is equal to 3 x minus 30 degree and C is equal to 4 x minus 60 degree ​.

Answer 1

Answer:

angle a + angle b + angle c =180=

x+30+3x-30+4x-60=180

8x=240

x=30

angle a =60=x+30

angle b=60=3x-30

angle c=60=4x-60

hece abc triangle is equilateral.

Step-by-step explanation:

Answer 2

Answer:

angle A=x+30

angle b = 3x-30

angle c= 4x-60

x+30+3x-30+4x-60=180

8x-60=180

8x=240

x=30

angle A = 30+30=60

angle B= 3(30)-30=90-30=60

Angle C = 4(30)-60=120-60=60

Here all angles are equal and in equilateral triangle all angles are equal.

Therefore, ABC is am equilateral triangle.

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