JJ C.
2 Answers By Expert Tutors
ANGELINA C. answered • 01/22/20
BSE - Major in Mathematics with 30+ years teaching experience.
3x + 8x + 9x = 180
20x = 180
x = 180/20
x = 90
3x = 3(9) = 270 Is the smallest angle
8x = 8(9). = 720 is the second angle
9x = 9(9) = 810 is the largest angle
To check: 27 + 72 + 81 = 180
Peter K. answered • 01/22/20
Certified Math Teacher with New York State Regents Teaching Experience
The ratio of 3:8:9 can be represented as angle measurements of 3x, 8x and 9x. That means that 3x + 8x + 9x = 20x = 180, the sum of the measures of the angles of a triangle in degrees. So x = 180/20 = 9.
That means that the angle measurements are 3(9), 8(9) and 9(9) or 27, 72 and 81 degrees.