Question

the angles of a triangle are 4x degree 2 X + 30 degree and 5 x -15 degree.Find the angles and then show that the triangle is an equilateral triangle.​

Answer 1

Answer:

4x + 2x + 30 + 5x - 15 = 180°. [ASP]

11x + 15 = 180

11x = 165

x = 15°

putting value of x in respective angles

1) 4x = 4×15 = 60°

2) 2x +30 = 2× 15 + 30 = 60°

3) 5x - 15 = 5 × 15 -15 = 60°

as all the angles are 60° therefore we can say that, it is an equilateral triangle

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Answer 2

Step-by-step explanation:

sum of all angles in a triangle = 180°

4x°+(2x+30)°+(5x-15)°=180°

4x°+2x°+30°+5x-15°=180°

4x+2x+5x=180-30+15

11x=180-45

11x=165

x=165/11

x=15°

thus, 4x = 4×15

4x=60°

2x+30=(2×15)+30

2x+30=30+30

2x+30=60°

5 x-15 = (5×15)-15

5x-15=60°

therefore, all the angles are 60°

thus, it is an equilateral triangle