Let an angle of a triangle is 60 ° . If the variance of the angles of the triangle is 4614 ° , then the other two angles are

Step-by-step solution

Let three angles of triangle be x ,   y   &   z . As sum of three angles of triangle = 180 ° . ⇒ x + y + z = 180 ° ⇒ 60 ° + y + z = 180 ° (Given one angle is 60 ∘ ) ⇒ y + z = 120 °     … 1 Now, it is given that variance of the angles of triangle is equal to 4614 ° . ∴ x 2 + y 2 + z 2 3 = 4614 ° ⇒ 60 ∘ 2 + y 2 + z 2 3 = 4614 ° ⇒ y 2 + z 2 = 10242 ° ⇒ y + z 2 - 2 y z = 10242 ° &#8