Question

One of the angle of the triangle is equal to the sum of other two angles. If the ratio of other two angles is 4:5.find the angles of the triangle.answer

Answer 1

Let the Triangle be ABC

Given: ∠A= 4x  ; ∠B= 56x   ; ∠C= ∠A+∠B

                                              ∠C= 4x+5x= 9x

By Angle Sum Property

    ∠A+∠B+∠C= 180°

    4x+5x+9x= 180°

     18x= 180°

     x= 180/18= 10°

∵  ∠A= 4x= 4(10)= 40°

    ∠B= 5x= 5(10)= 50°

    ∠C= 9x= 9(10)= 90°