Question

there are two triangle A and B . the angles of triangle A are in the ratio 3:4:5 and the angles of triangle B are in the ratio of 5:6:7. what is the avg. of largest angle of triangle A and smallest angle of triangle B?

Answer 1

Let Angles of Triangle A be 3x,4x and 5x

So, 3x + 4x + 5x = 180

    so, 12x = 180

             x = 15

So, Largest angle of triangle A is 15(5) = 75 degrees.

Similarly, In Triangle B,

5y+6y+7y = 180

18y = 180

y =10

smallest angle of Triangle B = 5(10) = 50 degrees

Hence Average = 75+50/2 = 125/2 = 62.5 degrees