Math, asked by lamaaaron9, 3 days ago

angleA = x +30°, angleB = 3x -30° and angleC = 4x - 60°.​

Answers

Answered by Niharika23456
2

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

Answered by aksaini11ynr
0

Answer:

60°

Step-by-step explanation:

According to angles property

Angle a + angle B + angle C = 180°

x+30+3x-30+4x-60=180°

x-60+3x+4x=180

x-60+3x+4x=180

8x-60=180°

8x=180+60

8x=240°

x=8/240

x=30°

Angle A=30 + 30 = 60°

Angle B=3×30-30= 60°

Angle C=4×-60=60°

hence, it is a equilateral triangle

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