Question

What are the measures of the angles 2:4:9

Answer 1

Sum of all angles in a triangle is 180 degrees. If we mark angles as a, b and c, from given ratio we would have: a + b + c = 180 a = 2x b = 4x c = 9x 2x + 4x + 9x =180 15x = 180 x = 12 a = 2x = 24 b = 4x = 48 c = 9x = 118

Answer 2

2:4:9
so 2 + 4 + 9 = 15
180/15 = 12

12*2 = 24
12*4 = 48
12*9 = 108

measures of the angles 2:4:9 = 24:48:108