The angles of triangle are (x + 10)o, (2x – 40)o and (3x – 90)o….

The angles of triangle are (x + 10)o, (2x – 40)o and (3x – 90)o. Which of the following accurately describes the triangle?
  • A.
    it is a scalene triangle
  • B.
    it is right angled isosceles triangle
  • C.
    t is an equilateral triangle
  • D.
    It is an isosceles triangle but not right angled
Correct Answer: Option C
Explanation

(x + 10)o + (2x – 40)o + (3x – 90)o = 180
6x – 120 = 180
6x = 180 + 120
6x = 300
x = (frac{300}{6})
x = 50
x + 10o = 50o + 10o = 60o
2x – 40 = 2(50o) – 40 = 60o
3x – 90 = 3(50o) – 90o = 60o
Hence, it is an equilateral triangle

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